Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(164,315)]
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([1, 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("315.164");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bq (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 | 164.5 | ||
Character | \(\chi\) | \(=\) | 315.164 |
Dual form | 315.2.bq.a.194.5 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.29795 | −1.62489 | −0.812447 | − | 0.583035i | \(-0.801865\pi\) | ||||
−0.812447 | + | 0.583035i | \(0.801865\pi\) | |||||||
\(3\) | 0.238210 | + | 1.71559i | 0.137531 | + | 0.990497i | ||||
\(4\) | 3.28056 | 1.64028 | ||||||||
\(5\) | −0.0571900 | − | 2.23534i | −0.0255761 | − | 0.999673i | ||||
\(6\) | −0.547395 | − | 3.94234i | −0.223473 | − | 1.60945i | ||||
\(7\) | −0.338914 | − | 2.62395i | −0.128098 | − | 0.991762i | ||||
\(8\) | −2.94267 | −1.04039 | ||||||||
\(9\) | −2.88651 | + | 0.817344i | −0.962171 | + | 0.272448i | ||||
\(10\) | 0.131420 | + | 5.13669i | 0.0415585 | + | 1.62436i | ||||
\(11\) | −4.36132 | + | 2.51801i | −1.31499 | + | 0.759208i | −0.982917 | − | 0.184047i | \(-0.941080\pi\) |
−0.332069 | + | 0.943255i | \(0.607747\pi\) | |||||||
\(12\) | 0.781465 | + | 5.62811i | 0.225589 | + | 1.62470i | ||||
\(13\) | 1.81474 | + | 3.14323i | 0.503320 | + | 0.871775i | 0.999993 | + | 0.00383730i | \(0.00122145\pi\) |
−0.496673 | + | 0.867938i | \(0.665445\pi\) | |||||||
\(14\) | 0.778808 | + | 6.02971i | 0.208145 | + | 1.61151i | ||||
\(15\) | 3.82130 | − | 0.630595i | 0.986656 | − | 0.162819i | ||||
\(16\) | 0.200971 | 0.0502428 | ||||||||
\(17\) | −5.20593 | − | 3.00564i | −1.26262 | − | 0.728976i | −0.289042 | − | 0.957316i | \(-0.593337\pi\) |
−0.973581 | + | 0.228340i | \(0.926670\pi\) | |||||||
\(18\) | 6.63305 | − | 1.87821i | 1.56343 | − | 0.442699i | ||||
\(19\) | −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 | ||||
\(21\) | 4.42090 | − | 1.20649i | 0.964720 | − | 0.263278i | ||||
\(22\) | 10.0221 | − | 5.78625i | 2.13671 | − | 1.23363i | ||||
\(23\) | −1.33854 | + | 2.31842i | −0.279105 | + | 0.483424i | −0.971163 | − | 0.238418i | \(-0.923371\pi\) |
0.692057 | + | 0.721842i | \(0.256704\pi\) | |||||||
\(24\) | −0.700974 | − | 5.04842i | −0.143086 | − | 1.03050i | ||||
\(25\) | −4.99346 | + | 0.255678i | −0.998692 | + | 0.0511355i | ||||
\(26\) | −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 | 0.337949 | − | 0.941164i | \(-0.390267\pi\) |
−0.646098 | + | 0.763255i | \(0.723600\pi\) | |||||||
\(30\) | −8.78115 | + | 1.44907i | −1.60321 | + | 0.264564i | ||||
\(31\) | − | 1.46018i | − | 0.262257i | −0.991365 | − | 0.131128i | \(-0.958140\pi\) | ||
0.991365 | − | 0.131128i | \(-0.0418600\pi\) | |||||||
\(32\) | 5.42352 | 0.958751 | ||||||||
\(33\) | −5.35879 | − | 6.88243i | −0.932845 | − | 1.19808i | ||||
\(34\) | 11.9630 | + | 6.90681i | 2.05163 | + | 1.18451i | ||||
\(35\) | −5.84604 | + | 0.907652i | −0.988161 | + | 0.153421i | ||||
\(36\) | −9.46939 | + | 2.68135i | −1.57823 | + | 0.446891i | ||||
\(37\) | −3.39771 | + | 1.96167i | −0.558579 | + | 0.322496i | −0.752575 | − | 0.658506i | \(-0.771189\pi\) |
0.193996 | + | 0.981002i | \(0.437855\pi\) | |||||||
\(38\) | 5.19693 | − | 3.00045i | 0.843053 | − | 0.486737i | ||||
\(39\) | −4.96021 | + | 3.86211i | −0.794269 | + | 0.618433i | ||||
\(40\) | 0.168291 | + | 6.57785i | 0.0266092 | + | 1.04005i | ||||
\(41\) | −0.294240 | − | 0.509638i | −0.0459525 | − | 0.0795921i | 0.842134 | − | 0.539268i | \(-0.181299\pi\) |
−0.888087 | + | 0.459676i | \(0.847966\pi\) | |||||||
\(42\) | −10.1590 | + | 2.77246i | −1.56757 | + | 0.427799i | ||||
\(43\) | −4.96969 | − | 2.86925i | −0.757871 | − | 0.437557i | 0.0706596 | − | 0.997500i | \(-0.477490\pi\) |
−0.828531 | + | 0.559943i | \(0.810823\pi\) | |||||||
\(44\) | −14.3076 | + | 8.26049i | −2.15695 | + | 1.24532i | ||||
\(45\) | 1.99212 | + | 6.40558i | 0.296967 | + | 0.954888i | ||||
\(46\) | 3.07590 | − | 5.32761i | 0.453516 | − | 0.785513i | ||||
\(47\) | 4.60984i | 0.672415i | 0.941788 | + | 0.336207i | \(0.109144\pi\) | ||||
−0.941788 | + | 0.336207i | \(0.890856\pi\) | |||||||
\(48\) | 0.0478734 | + | 0.344784i | 0.00690993 | + | 0.0497653i | ||||
\(49\) | −6.77027 | + | 1.77859i | −0.967182 | + | 0.254085i | ||||
\(50\) | 11.4747 | − | 0.587534i | 1.62277 | − | 0.0830899i | ||||
\(51\) | 3.91635 | − | 9.64723i | 0.548399 | − | 1.35088i | ||||
\(52\) | 5.95338 | + | 10.3116i | 0.825586 | + | 1.42996i | ||||
\(53\) | 5.84795 | − | 10.1290i | 0.803278 | − | 1.39132i | −0.114169 | − | 0.993461i | \(-0.536420\pi\) |
0.917447 | − | 0.397858i | \(-0.130246\pi\) | |||||||
\(54\) | 4.80231 | + | 10.9322i | 0.653512 | + | 1.48768i | ||||
\(55\) | 5.87802 | + | 9.60501i | 0.792592 | + | 1.29514i | ||||
\(56\) | 0.997313 | + | 7.72143i | 0.133272 | + | 1.03182i | ||||
\(57\) | −2.77879 | − | 3.56887i | −0.368059 | − | 0.472708i | ||||
\(58\) | 3.81329 | + | 2.20160i | 0.500709 | + | 0.289085i | ||||
\(59\) | 2.90947 | 0.378780 | 0.189390 | − | 0.981902i | \(-0.439349\pi\) | ||||
0.189390 | + | 0.981902i | \(0.439349\pi\) | |||||||
\(60\) | 12.5360 | − | 2.06871i | 1.61839 | − | 0.267069i | ||||
\(61\) | − | 13.0521i | − | 1.67115i | −0.549379 | − | 0.835573i | \(-0.685136\pi\) | ||
0.549379 | − | 0.835573i | \(-0.314864\pi\) | |||||||
\(62\) | 3.35542i | 0.426139i | ||||||||
\(63\) | 3.12295 | + | 7.29707i | 0.393455 | + | 0.919344i | ||||
\(64\) | −12.8649 | −1.60811 | ||||||||
\(65\) | 6.92239 | − | 4.23633i | 0.858617 | − | 0.525452i | ||||
\(66\) | 12.3142 | + | 15.8155i | 1.51577 | + | 1.94675i | ||||
\(67\) | − | 4.76136i | − | 0.581693i | −0.956770 | − | 0.290846i | \(-0.906063\pi\) | ||
0.956770 | − | 0.290846i | \(-0.0939368\pi\) | |||||||
\(68\) | −17.0784 | − | 9.86021i | −2.07106 | − | 1.19573i | ||||
\(69\) | −4.29632 | − | 1.74412i | −0.517216 | − | 0.209967i | ||||
\(70\) | 13.4339 | − | 2.08574i | 1.60566 | − | 0.249293i | ||||
\(71\) | 12.6849i | 1.50543i | 0.658349 | + | 0.752713i | \(0.271255\pi\) | ||||
−0.658349 | + | 0.752713i | \(0.728745\pi\) | |||||||
\(72\) | 8.49405 | − | 2.40517i | 1.00103 | − | 0.283452i | ||||
\(73\) | −2.88859 | + | 5.00318i | −0.338083 | + | 0.585578i | −0.984072 | − | 0.177769i | \(-0.943112\pi\) |
0.645989 | + | 0.763347i | \(0.276445\pi\) | |||||||
\(74\) | 7.80775 | − | 4.50781i | 0.907633 | − | 0.524022i | ||||
\(75\) | −1.62813 | − | 8.50583i | −0.188001 | − | 0.982169i | ||||
\(76\) | −7.41917 | + | 4.28346i | −0.851037 | + | 0.491346i | ||||
\(77\) | 8.08525 | + | 10.5905i | 0.921400 | + | 1.20690i | ||||
\(78\) | 11.3983 | − | 8.87493i | 1.29060 | − | 1.00489i | ||||
\(79\) | 0.152914 | 0.0172042 | 0.00860211 | − | 0.999963i | \(-0.497262\pi\) | ||||
0.00860211 | + | 0.999963i | \(0.497262\pi\) | |||||||
\(80\) | −0.0114935 | − | 0.449238i | −0.00128502 | − | 0.0502263i | ||||
\(81\) | 7.66390 | − | 4.71855i | 0.851544 | − | 0.524283i | ||||
\(82\) | 0.676147 | + | 1.17112i | 0.0746680 | + | 0.129329i | ||||
\(83\) | 2.74097 | + | 1.58250i | 0.300860 | + | 0.173702i | 0.642829 | − | 0.766009i | \(-0.277760\pi\) |
−0.341969 | + | 0.939711i | \(0.611094\pi\) | |||||||
\(84\) | 14.5031 | − | 3.95797i | 1.58241 | − | 0.431850i | ||||
\(85\) | −6.42090 | + | 11.8089i | −0.696444 | + | 1.28085i | ||||
\(86\) | 11.4201 | + | 6.59340i | 1.23146 | + | 0.710984i | ||||
\(87\) | 1.24837 | − | 3.07513i | 0.133839 | − | 0.329689i | ||||
\(88\) | 12.8339 | − | 7.40966i | 1.36810 | − | 0.789873i | ||||
\(89\) | 2.51793 | + | 4.36117i | 0.266900 | + | 0.462284i | 0.968060 | − | 0.250720i | \(-0.0806675\pi\) |
−0.701160 | + | 0.713004i | \(0.747334\pi\) | |||||||
\(90\) | −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 | ||||
\(93\) | 2.50508 | − | 0.347831i | 0.259764 | − | 0.0360684i | ||||
\(94\) | − | 10.5932i | − | 1.09260i | ||||||
\(95\) | 3.04804 | + | 4.98066i | 0.312722 | + | 0.511005i | ||||
\(96\) | 1.29194 | + | 9.30454i | 0.131858 | + | 0.949641i | ||||
\(97\) | −4.18757 | + | 7.25308i | −0.425183 | + | 0.736438i | −0.996437 | − | 0.0843346i | \(-0.973124\pi\) |
0.571255 | + | 0.820773i | \(0.306457\pi\) | |||||||
\(98\) | 15.5577 | − | 4.08711i | 1.57157 | − | 0.412861i | ||||
\(99\) | 10.5309 | − | 10.8330i | 1.05840 | − | 1.08875i | ||||
\(100\) | −16.3814 | + | 0.838767i | −1.63814 | + | 0.0838767i | ||||
\(101\) | −3.44460 | − | 5.96622i | −0.342751 | − | 0.593661i | 0.642192 | − | 0.766544i | \(-0.278025\pi\) |
−0.984942 | + | 0.172883i | \(0.944692\pi\) | |||||||
\(102\) | −8.99958 | + | 22.1688i | −0.891091 | + | 2.19504i | ||||
\(103\) | −7.87687 | + | 13.6431i | −0.776131 | + | 1.34430i | 0.158026 | + | 0.987435i | \(0.449487\pi\) |
−0.934157 | + | 0.356863i | \(0.883846\pi\) | |||||||
\(104\) | −5.34019 | − | 9.24948i | −0.523649 | − | 0.906986i | ||||
\(105\) | −2.94975 | − | 9.81320i | −0.287866 | − | 0.957671i | ||||
\(106\) | −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 | \(0.618396\pi\) | |||||||
\(108\) | −6.85581 | − | 15.6069i | −0.659700 | − | 1.50177i | ||||
\(109\) | 8.39688 | − | 14.5438i | 0.804276 | − | 1.39305i | −0.112503 | − | 0.993651i | \(-0.535887\pi\) |
0.916779 | − | 0.399395i | \(-0.130780\pi\) | |||||||
\(110\) | −13.5074 | − | 22.0718i | −1.28788 | − | 2.10446i | ||||
\(111\) | −4.17479 | − | 5.36179i | −0.396253 | − | 0.508918i | ||||
\(112\) | −0.0681120 | − | 0.527339i | −0.00643598 | − | 0.0498289i | ||||
\(113\) | −4.83169 | − | 8.36874i | −0.454528 | − | 0.787265i | 0.544133 | − | 0.838999i | \(-0.316859\pi\) |
−0.998661 | + | 0.0517339i | \(0.983525\pi\) | |||||||
\(114\) | 6.38551 | + | 8.20107i | 0.598058 | + | 0.768101i | ||||
\(115\) | 5.25900 | + | 2.85950i | 0.490405 | + | 0.266650i | ||||
\(116\) | −5.44387 | − | 3.14302i | −0.505451 | − | 0.291822i | ||||
\(117\) | −7.80738 | − | 7.58970i | −0.721793 | − | 0.701668i | ||||
\(118\) | −6.68580 | −0.615478 | ||||||||
\(119\) | −6.12231 | + | 14.6788i | −0.561231 | + | 1.34560i | ||||
\(120\) | −11.2448 | + | 1.85563i | −1.02651 | + | 0.169395i | ||||
\(121\) | 7.18073 | − | 12.4374i | 0.652793 | − | 1.13067i | ||||
\(122\) | 29.9930i | 2.71544i | ||||||||
\(123\) | 0.804240 | − | 0.626196i | 0.0725159 | − | 0.0564622i | ||||
\(124\) | − | 4.79022i | − | 0.430175i | ||||||
\(125\) | 0.857102 | + | 11.1474i | 0.0766615 | + | 0.997057i | ||||
\(126\) | −7.17638 | − | 16.7683i | −0.639323 | − | 1.49384i | ||||
\(127\) | − | 11.0818i | − | 0.983347i | −0.870780 | − | 0.491674i | \(-0.836385\pi\) | ||
0.870780 | − | 0.491674i | \(-0.163615\pi\) | |||||||
\(128\) | 18.7158 | 1.65426 | ||||||||
\(129\) | 3.73864 | − | 9.20946i | 0.329169 | − | 0.810847i | ||||
\(130\) | −15.9073 | + | 9.73485i | −1.39516 | + | 0.853803i | ||||
\(131\) | −5.74409 | + | 9.94906i | −0.501864 | + | 0.869253i | 0.498134 | + | 0.867100i | \(0.334019\pi\) |
−0.999998 | + | 0.00215316i | \(0.999315\pi\) | |||||||
\(132\) | −17.5798 | − | 22.5782i | −1.53013 | − | 1.96518i | ||||
\(133\) | 4.19259 | + | 5.49169i | 0.363544 | + | 0.476190i | ||||
\(134\) | 10.9414i | 0.945189i | ||||||||
\(135\) | −10.5148 | + | 4.94354i | −0.904972 | + | 0.425472i | ||||
\(136\) | 15.3193 | + | 8.84462i | 1.31362 | + | 0.758420i | ||||
\(137\) | −2.86212 | − | 4.95734i | −0.244527 | − | 0.423534i | 0.717471 | − | 0.696588i | \(-0.245299\pi\) |
−0.961999 | + | 0.273054i | \(0.911966\pi\) | |||||||
\(138\) | 9.87272 | + | 4.00789i | 0.840422 | + | 0.341175i | ||||
\(139\) | −5.25854 | + | 3.03602i | −0.446024 | + | 0.257512i | −0.706149 | − | 0.708063i | \(-0.749569\pi\) |
0.260126 | + | 0.965575i | \(0.416236\pi\) | |||||||
\(140\) | −19.1783 | + | 2.97761i | −1.62086 | + | 0.251654i | ||||
\(141\) | −7.90861 | + | 1.09811i | −0.666025 | + | 0.0924778i | ||||
\(142\) | − | 29.1493i | − | 2.44616i | ||||||
\(143\) | −15.8294 | − | 9.13908i | −1.32372 | − | 0.764248i | ||||
\(144\) | −0.580105 | + | 0.164263i | −0.0483421 | + | 0.0136885i | ||||
\(145\) | −2.04671 | + | 3.76418i | −0.169970 | + | 0.312598i | ||||
\(146\) | 6.63782 | − | 11.4970i | 0.549350 | − | 0.951502i | ||||
\(147\) | −4.66409 | − | 11.1913i | −0.384687 | − | 0.923047i | ||||
\(148\) | −11.1464 | + | 6.43537i | −0.916228 | + | 0.528984i | ||||
\(149\) | −13.8193 | − | 7.97859i | −1.13212 | − | 0.653631i | −0.187655 | − | 0.982235i | \(-0.560089\pi\) |
−0.944468 | + | 0.328604i | \(0.893422\pi\) | |||||||
\(150\) | 3.74136 | + | 19.5460i | 0.305481 | + | 1.59592i | ||||
\(151\) | 7.27090 | + | 12.5936i | 0.591698 | + | 1.02485i | 0.994004 | + | 0.109345i | \(0.0348754\pi\) |
−0.402306 | + | 0.915505i | \(0.631791\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | −16.2723 | + | 12.6699i | −1.30282 | + | 1.01440i | ||||
\(157\) | 1.06714 | 0.0851671 | 0.0425835 | − | 0.999093i | \(-0.486441\pi\) | ||||
0.0425835 | + | 0.999093i | \(0.486441\pi\) | |||||||
\(158\) | −0.351389 | −0.0279550 | ||||||||
\(159\) | 18.7702 | + | 7.61988i | 1.48857 | + | 0.604296i | ||||
\(160\) | −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 | −0.595372 | − | 0.803450i | \(-0.702995\pi\) |
0.398123 | + | 0.917332i | \(0.369662\pi\) | |||||||
\(164\) | −0.965272 | − | 1.67190i | −0.0753751 | − | 0.130553i | ||||
\(165\) | −15.0781 | + | 12.3723i | −1.17383 | + | 0.963182i | ||||
\(166\) | −6.29860 | − | 3.63650i | −0.488866 | − | 0.282247i | ||||
\(167\) | 21.4761 | − | 12.3993i | 1.66187 | − | 0.959483i | 0.690053 | − | 0.723759i | \(-0.257587\pi\) |
0.971820 | − | 0.235724i | \(-0.0757463\pi\) | |||||||
\(168\) | −13.0093 | + | 3.55031i | −1.00369 | + | 0.273912i | ||||
\(169\) | −0.0865940 | + | 0.149985i | −0.00666108 | + | 0.0115373i | ||||
\(170\) | 14.7549 | − | 27.1362i | 1.13165 | − | 2.08125i | ||||
\(171\) | 5.46079 | − | 5.61741i | 0.417597 | − | 0.429574i | ||||
\(172\) | −16.3034 | − | 9.41277i | −1.24312 | − | 0.717717i | ||||
\(173\) | − | 3.40664i | − | 0.259002i | −0.991579 | − | 0.129501i | \(-0.958662\pi\) | ||
0.991579 | − | 0.129501i | \(-0.0413375\pi\) | |||||||
\(174\) | −2.86869 | + | 7.06649i | −0.217475 | + | 0.535709i | ||||
\(175\) | 2.36324 | + | 13.0160i | 0.178644 | + | 0.983914i | ||||
\(176\) | −0.876499 | + | 0.506047i | −0.0660686 | + | 0.0381447i | ||||
\(177\) | 0.693065 | + | 4.99146i | 0.0520940 | + | 0.375181i | ||||
\(178\) | −5.78606 | − | 10.0218i | −0.433684 | − | 0.751162i | ||||
\(179\) | −0.604912 | − | 0.349246i | −0.0452133 | − | 0.0261039i | 0.477223 | − | 0.878782i | \(-0.341643\pi\) |
−0.522436 | + | 0.852678i | \(0.674977\pi\) | |||||||
\(180\) | 6.53527 | + | 21.0139i | 0.487110 | + | 1.56628i | ||||
\(181\) | 17.8235i | 1.32481i | 0.749147 | + | 0.662403i | \(0.230463\pi\) | ||||
−0.749147 | + | 0.662403i | \(0.769537\pi\) | |||||||
\(182\) | −17.5394 | + | 13.3904i | −1.30011 | + | 0.992559i | ||||
\(183\) | 22.3920 | − | 3.10914i | 1.65527 | − | 0.229834i | ||||
\(184\) | 3.93888 | − | 6.82235i | 0.290378 | − | 0.502950i | ||||
\(185\) | 4.57930 | + | 7.48283i | 0.336677 | + | 0.550149i | ||||
\(186\) | −5.75654 | + | 0.799297i | −0.422090 | + | 0.0586073i | ||||
\(187\) | 30.2730 | 2.21378 | ||||||||
\(188\) | 15.1229i | 1.10295i | ||||||||
\(189\) | −11.7749 | + | 7.09595i | −0.856495 | + | 0.516155i | ||||
\(190\) | −7.00423 | − | 11.4453i | −0.508140 | − | 0.830329i | ||||
\(191\) | − | 12.1781i | − | 0.881176i | −0.897709 | − | 0.440588i | \(-0.854770\pi\) | ||
0.897709 | − | 0.440588i | \(-0.145230\pi\) | |||||||
\(192\) | −3.06455 | − | 22.0709i | −0.221165 | − | 1.59283i | ||||
\(193\) | 0.773008i | 0.0556423i | 0.999613 | + | 0.0278212i | \(0.00885689\pi\) | ||||
−0.999613 | + | 0.0278212i | \(0.991143\pi\) | |||||||
\(194\) | 9.62281 | − | 16.6672i | 0.690877 | − | 1.19663i | ||||
\(195\) | 8.91679 | + | 10.8669i | 0.638545 | + | 0.778192i | ||||
\(196\) | −22.2103 | + | 5.83478i | −1.58645 | + | 0.416770i | ||||
\(197\) | −0.319064 | −0.0227323 | −0.0113662 | − | 0.999935i | \(-0.503618\pi\) | ||||
−0.0113662 | + | 0.999935i | \(0.503618\pi\) | |||||||
\(198\) | −24.1995 | + | 24.8936i | −1.71978 | + | 1.76911i | ||||
\(199\) | 7.49062 | + | 4.32471i | 0.530996 | + | 0.306571i | 0.741422 | − | 0.671039i | \(-0.234152\pi\) |
−0.210426 | + | 0.977610i | \(0.567485\pi\) | |||||||
\(200\) | 14.6941 | − | 0.752375i | 1.03903 | − | 0.0532009i | ||||
\(201\) | 8.16855 | − | 1.13421i | 0.576165 | − | 0.0800007i | ||||
\(202\) | 7.91551 | + | 13.7101i | 0.556933 | + | 0.964637i | ||||
\(203\) | −1.95154 | + | 4.67898i | −0.136971 | + | 0.328400i | ||||
\(204\) | 12.8478 | − | 31.6483i | 0.899529 | − | 2.21583i | ||||
\(205\) | −1.12238 | + | 0.686871i | −0.0783908 | + | 0.0479731i | ||||
\(206\) | 18.1006 | − | 31.3512i | 1.26113 | − | 2.18434i | ||||
\(207\) | 1.96877 | − | 7.78620i | 0.136839 | − | 0.541178i | ||||
\(208\) | 0.364711 | + | 0.631698i | 0.0252882 | + | 0.0438004i | ||||
\(209\) | 6.57557 | − | 11.3892i | 0.454841 | − | 0.787808i | ||||
\(210\) | 6.77837 | + | 22.5502i | 0.467752 | + | 1.55611i | ||||
\(211\) | −9.40901 | − | 16.2969i | −0.647743 | − | 1.12192i | −0.983661 | − | 0.180032i | \(-0.942380\pi\) |
0.335918 | − | 0.941891i | \(-0.390954\pi\) | |||||||
\(212\) | 19.1846 | − | 33.2287i | 1.31760 | − | 2.28216i | ||||
\(213\) | −21.7622 | + | 3.02169i | −1.49112 | + | 0.207043i | ||||
\(214\) | −14.8585 | − | 25.7356i | −1.01570 | − | 1.75925i | ||||
\(215\) | −6.12953 | + | 11.2730i | −0.418031 | + | 0.768814i | ||||
\(216\) | 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 | ||||
\(219\) | −9.27150 | − | 3.76382i | −0.626510 | − | 0.254336i | ||||
\(220\) | 19.2832 | + | 31.5098i | 1.30007 | + | 2.12439i | ||||
\(221\) | − | 21.8179i | − | 1.46763i | ||||||
\(222\) | 9.59345 | + | 12.3211i | 0.643870 | + | 0.826939i | ||||
\(223\) | −9.51294 | + | 16.4769i | −0.637034 | + | 1.10338i | 0.349046 | + | 0.937105i | \(0.386506\pi\) |
−0.986080 | + | 0.166270i | \(0.946828\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 10.7207 | − | 6.18962i | 0.711560 | − | 0.410819i | −0.100078 | − | 0.994980i | \(-0.531909\pi\) |
0.811638 | + | 0.584160i | \(0.198576\pi\) | |||||||
\(228\) | −9.11599 | − | 11.7079i | −0.603721 | − | 0.775375i | ||||
\(229\) | 0.982839 | + | 0.567442i | 0.0649478 | + | 0.0374976i | 0.532122 | − | 0.846668i | \(-0.321395\pi\) |
−0.467174 | + | 0.884165i | \(0.654728\pi\) | |||||||
\(230\) | −12.0849 | − | 6.57098i | −0.796856 | − | 0.433278i | ||||
\(231\) | −16.2430 | + | 16.3938i | −1.06871 | + | 1.07863i | ||||
\(232\) | 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 | \(0.874509\pi\) | |||||||
\(234\) | 17.9410 | + | 17.4407i | 1.17284 | + | 1.14014i | ||||
\(235\) | 10.3046 | − | 0.263637i | 0.672195 | − | 0.0171978i | ||||
\(236\) | 9.54469 | 0.621306 | ||||||||
\(237\) | 0.0364258 | + | 0.262339i | 0.00236611 | + | 0.0170407i | ||||
\(238\) | 14.0688 | − | 33.7311i | 0.911942 | − | 2.18646i | ||||
\(239\) | 2.56257 | − | 1.47950i | 0.165759 | − | 0.0957008i | −0.414826 | − | 0.909901i | \(-0.636157\pi\) |
0.580584 | + | 0.814200i | \(0.302824\pi\) | |||||||
\(240\) | 0.767971 | − | 0.126731i | 0.0495723 | − | 0.00818048i | ||||
\(241\) | −10.5820 | + | 6.10951i | −0.681646 | + | 0.393548i | −0.800475 | − | 0.599366i | \(-0.795419\pi\) |
0.118829 | + | 0.992915i | \(0.462086\pi\) | |||||||
\(242\) | −16.5009 | + | 28.5805i | −1.06072 | + | 1.83722i | ||||
\(243\) | 9.92072 | + | 12.0241i | 0.636414 | + | 0.771347i | ||||
\(244\) | − | 42.8181i | − | 2.74115i | ||||||
\(245\) | 4.36294 | + | 15.0321i | 0.278738 | + | 0.960367i | ||||
\(246\) | −1.84810 | + | 1.43897i | −0.117831 | + | 0.0917451i | ||||
\(247\) | −8.20828 | − | 4.73905i | −0.522280 | − | 0.301539i | ||||
\(248\) | 4.29683i | 0.272849i | ||||||||
\(249\) | −2.06199 | + | 5.07935i | −0.130674 | + | 0.321891i | ||||
\(250\) | −1.96957 | − | 25.6162i | −0.124567 | − | 1.62011i | ||||
\(251\) | 19.3025 | 1.21836 | 0.609182 | − | 0.793030i | \(-0.291498\pi\) | ||||
0.609182 | + | 0.793030i | \(0.291498\pi\) | |||||||
\(252\) | 10.2450 | + | 23.9385i | 0.645377 | + | 1.50798i | ||||
\(253\) | − | 13.4818i | − | 0.847595i | ||||||
\(254\) | 25.4653i | 1.59784i | ||||||||
\(255\) | −21.7888 | − | 8.20264i | −1.36447 | − | 0.513669i | ||||
\(256\) | −17.2782 | −1.07989 | ||||||||
\(257\) | −3.24550 | − | 1.87379i | −0.202449 | − | 0.116884i | 0.395348 | − | 0.918531i | \(-0.370624\pi\) |
−0.597797 | + | 0.801647i | \(0.703957\pi\) | |||||||
\(258\) | −8.59119 | + | 21.1628i | −0.534864 | + | 1.31754i | ||||
\(259\) | 6.29886 | + | 8.25059i | 0.391392 | + | 0.512667i | ||||
\(260\) | 22.7093 | − | 13.8975i | 1.40837 | − | 0.861889i | ||||
\(261\) | 5.57304 | + | 1.40916i | 0.344963 | + | 0.0872250i | ||||
\(262\) | 13.1996 | − | 22.8624i | 0.815475 | − | 1.41244i | ||||
\(263\) | −12.3518 | − | 21.3940i | −0.761647 | − | 1.31921i | −0.942001 | − | 0.335609i | \(-0.891058\pi\) |
0.180355 | − | 0.983602i | \(-0.442275\pi\) | |||||||
\(264\) | 15.7691 | + | 20.2527i | 0.970523 | + | 1.24647i | ||||
\(265\) | −22.9761 | − | 12.4929i | −1.41141 | − | 0.767431i | ||||
\(266\) | −9.63436 | − | 12.6196i | −0.590720 | − | 0.773758i | ||||
\(267\) | −6.88220 | + | 5.35861i | −0.421184 | + | 0.327942i | ||||
\(268\) | − | 15.6199i | − | 0.954140i | ||||||
\(269\) | −9.85276 | + | 17.0655i | −0.600733 | + | 1.04050i | 0.391977 | + | 0.919975i | \(0.371791\pi\) |
−0.992710 | + | 0.120525i | \(0.961542\pi\) | |||||||
\(270\) | 24.1625 | − | 11.3600i | 1.47048 | − | 0.691347i | ||||
\(271\) | 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 | ||||
\(273\) | 11.8151 | + | 11.7064i | 0.715082 | + | 0.708506i | ||||
\(274\) | 6.57700 | + | 11.3917i | 0.397331 | + | 0.688198i | ||||
\(275\) | 21.1343 | − | 13.6887i | 1.27444 | − | 0.825457i | ||||
\(276\) | −14.0944 | − | 5.72169i | −0.848380 | − | 0.344405i | ||||
\(277\) | 5.68157 | − | 3.28026i | 0.341372 | − | 0.197091i | −0.319506 | − | 0.947584i | \(-0.603517\pi\) |
0.660879 | + | 0.750493i | \(0.270184\pi\) | |||||||
\(278\) | 12.0839 | − | 6.97662i | 0.724741 | − | 0.418430i | ||||
\(279\) | 1.19347 | + | 4.21483i | 0.0714513 | + | 0.252336i | ||||
\(280\) | 17.2030 | − | 2.67092i | 1.02807 | − | 0.159618i | ||||
\(281\) | 13.6397 | + | 7.87486i | 0.813674 | + | 0.469775i | 0.848230 | − | 0.529628i | \(-0.177668\pi\) |
−0.0345563 | + | 0.999403i | \(0.511002\pi\) | |||||||
\(282\) | 18.1736 | − | 2.52341i | 1.08222 | − | 0.150267i | ||||
\(283\) | 16.1994 | 0.962955 | 0.481477 | − | 0.876458i | \(-0.340100\pi\) | ||||
0.481477 | + | 0.876458i | \(0.340100\pi\) | |||||||
\(284\) | 41.6138i | 2.46932i | ||||||||
\(285\) | −7.81870 | + | 6.41563i | −0.463140 | + | 0.380029i | ||||
\(286\) | 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 | ||||
\(290\) | 4.70324 | − | 8.64989i | 0.276184 | − | 0.507939i | ||||
\(291\) | −13.4408 | − | 5.45640i | −0.787916 | − | 0.319860i | ||||
\(292\) | −9.47619 | + | 16.4132i | −0.554552 | + | 0.960512i | ||||
\(293\) | −15.3284 | + | 8.84983i | −0.895492 | + | 0.517013i | −0.875735 | − | 0.482792i | \(-0.839623\pi\) |
−0.0197572 | + | 0.999805i | \(0.506289\pi\) | |||||||
\(294\) | 10.7178 | + | 25.7171i | 0.625077 | + | 1.49985i | ||||
\(295\) | −0.166392 | − | 6.50363i | −0.00968773 | − | 0.378656i | ||||
\(296\) | 9.99832 | − | 5.77253i | 0.581141 | − | 0.335522i | ||||
\(297\) | 21.0935 | + | 15.4862i | 1.22397 | + | 0.898602i | ||||
\(298\) | 31.7561 | + | 18.3344i | 1.83958 | + | 1.06208i | ||||
\(299\) | −9.71644 | −0.561916 | ||||||||
\(300\) | −5.34119 | − | 27.9039i | −0.308374 | − | 1.61103i | ||||
\(301\) | −5.84449 | + | 14.0127i | −0.336871 | + | 0.807678i | ||||
\(302\) | −16.7082 | − | 28.9394i | −0.961446 | − | 1.66527i | ||||
\(303\) | 9.41506 | − | 7.33074i | 0.540881 | − | 0.421140i | ||||
\(304\) | −0.454507 | + | 0.262410i | −0.0260677 | + | 0.0150502i | ||||
\(305\) | −29.1758 | + | 0.746448i | −1.67060 | + | 0.0427415i | ||||
\(306\) | −40.1764 | − | 10.1588i | −2.29673 | − | 0.580737i | ||||
\(307\) | 6.36015 | 0.362993 | 0.181497 | − | 0.983392i | \(-0.441906\pi\) | ||||
0.181497 | + | 0.983392i | \(0.441906\pi\) | |||||||
\(308\) | 26.5242 | + | 34.7428i | 1.51136 | + | 1.97966i | ||||
\(309\) | −25.2824 | − | 10.2636i | −1.43827 | − | 0.583873i | ||||
\(310\) | 7.50050 | − | 0.191897i | 0.426000 | − | 0.0108990i | ||||
\(311\) | −26.9639 | −1.52899 | −0.764493 | − | 0.644633i | \(-0.777010\pi\) | ||||
−0.764493 | + | 0.644633i | \(0.777010\pi\) | |||||||
\(312\) | 14.5962 | − | 11.3649i | 0.826350 | − | 0.643411i | ||||
\(313\) | −9.97596 | −0.563875 | −0.281937 | − | 0.959433i | \(-0.590977\pi\) | ||||
−0.281937 | + | 0.959433i | \(0.590977\pi\) | |||||||
\(314\) | −2.45223 | −0.138388 | ||||||||
\(315\) | 16.1328 | − | 7.39817i | 0.908980 | − | 0.416840i | ||||
\(316\) | 0.501645 | 0.0282198 | ||||||||
\(317\) | −28.5140 | −1.60151 | −0.800753 | − | 0.598995i | \(-0.795567\pi\) | ||||
−0.800753 | + | 0.598995i | \(0.795567\pi\) | |||||||
\(318\) | −43.1329 | − | 17.5101i | −2.41877 | − | 0.981917i | ||||
\(319\) | 9.64975 | 0.540282 | ||||||||
\(320\) | 0.735743 | + | 28.7574i | 0.0411293 | + | 1.60759i | ||||
\(321\) | −17.6733 | + | 13.7608i | −0.986430 | + | 0.768053i | ||||
\(322\) | −15.0219 | − | 6.26541i | −0.837136 | − | 0.349158i | ||||
\(323\) | 15.6980 | 0.873459 | ||||||||
\(324\) | 25.1419 | − | 15.4795i | 1.39677 | − | 0.859972i | ||||
\(325\) | −9.86550 | − | 15.2316i | −0.547240 | − | 0.844897i | ||||
\(326\) | 5.78694 | − | 3.34109i | 0.320509 | − | 0.185046i | ||||
\(327\) | 26.9515 | + | 10.9411i | 1.49042 | + | 0.605046i | ||||
\(328\) | 0.865850 | + | 1.49970i | 0.0478086 | + | 0.0828069i | ||||
\(329\) | 12.0960 | − | 1.56234i | 0.666875 | − | 0.0861347i | ||||
\(330\) | 34.6486 | − | 28.4309i | 1.90734 | − | 1.56507i | ||||
\(331\) | −25.0896 | −1.37905 | −0.689525 | − | 0.724262i | \(-0.742181\pi\) | ||||
−0.689525 | + | 0.724262i | \(0.742181\pi\) | |||||||
\(332\) | 8.99192 | + | 5.19149i | 0.493496 | + | 0.284920i | ||||
\(333\) | 8.20416 | − | 8.43947i | 0.449585 | − | 0.462480i | ||||
\(334\) | −49.3510 | + | 28.4928i | −2.70037 | + | 1.55906i | ||||
\(335\) | −10.6432 | + | 0.272302i | −0.581502 | + | 0.0148774i | ||||
\(336\) | 0.888474 | − | 0.242470i | 0.0484702 | − | 0.0132278i | ||||
\(337\) | 30.3670 | − | 17.5324i | 1.65420 | − | 0.955051i | 0.678879 | − | 0.734250i | \(-0.262466\pi\) |
0.975319 | − | 0.220801i | \(-0.0708671\pi\) | |||||||
\(338\) | 0.198989 | − | 0.344658i | 0.0108236 | − | 0.0187469i | ||||
\(339\) | 13.2064 | − | 10.2827i | 0.717272 | − | 0.558482i | ||||
\(340\) | −21.0642 | + | 38.7398i | −1.14237 | + | 2.10096i | ||||
\(341\) | 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 | ||||
\(345\) | −3.65299 | + | 9.70347i | −0.196670 | + | 0.522417i | ||||
\(346\) | 7.82827i | 0.420851i | ||||||||
\(347\) | −30.8081 | −1.65387 | −0.826933 | − | 0.562300i | \(-0.809917\pi\) | ||||
−0.826933 | + | 0.562300i | \(0.809917\pi\) | |||||||
\(348\) | 4.09535 | − | 10.0882i | 0.219534 | − | 0.540782i | ||||
\(349\) | −5.17646 | − | 2.98863i | −0.277089 | − | 0.159978i | 0.355016 | − | 0.934860i | \(-0.384476\pi\) |
−0.632105 | + | 0.774883i | \(0.717809\pi\) | |||||||
\(350\) | −5.43061 | − | 29.9100i | −0.290278 | − | 1.59876i | ||||
\(351\) | 11.1610 | − | 15.2022i | 0.595731 | − | 0.811435i | ||||
\(352\) | −23.6537 | + | 13.6565i | −1.26075 | + | 0.727892i | ||||
\(353\) | −0.986963 | + | 0.569823i | −0.0525307 | + | 0.0303286i | −0.526035 | − | 0.850463i | \(-0.676322\pi\) |
0.473505 | + | 0.880791i | \(0.342989\pi\) | |||||||
\(354\) | −1.59263 | − | 11.4701i | −0.0846472 | − | 0.609629i | ||||
\(355\) | 28.3551 | − | 0.725452i | 1.50493 | − | 0.0385030i | ||||
\(356\) | 8.26021 | + | 14.3071i | 0.437790 | + | 0.758275i | ||||
\(357\) | −26.6412 | − | 7.00675i | −1.41000 | − | 0.370836i | ||||
\(358\) | 1.39006 | + | 0.802550i | 0.0734668 | + | 0.0424161i | ||||
\(359\) | −4.46715 | + | 2.57911i | −0.235767 | + | 0.136120i | −0.613230 | − | 0.789905i | \(-0.710130\pi\) |
0.377463 | + | 0.926025i | \(0.376797\pi\) | |||||||
\(360\) | −5.86214 | − | 18.8495i | −0.308962 | − | 0.993456i | ||||
\(361\) | −6.09025 | + | 10.5486i | −0.320540 | + | 0.555191i | ||||
\(362\) | − | 40.9574i | − | 2.15267i | ||||||
\(363\) | 23.0480 | + | 9.35648i | 1.20971 | + | 0.491088i | ||||
\(364\) | 25.0394 | − | 19.1161i | 1.31242 | − | 1.00196i | ||||
\(365\) | 11.3490 | + | 6.17083i | 0.594033 | + | 0.322996i | ||||
\(366\) | −51.4557 | + | 7.14464i | −2.68963 | + | 0.373456i | ||||
\(367\) | −4.24201 | − | 7.34738i | −0.221431 | − | 0.383530i | 0.733811 | − | 0.679353i | \(-0.237740\pi\) |
−0.955243 | + | 0.295823i | \(0.904406\pi\) | |||||||
\(368\) | −0.269008 | + | 0.465936i | −0.0140230 | + | 0.0242886i | ||||
\(369\) | 1.26588 | + | 1.23058i | 0.0658989 | + | 0.0640615i | ||||
\(370\) | −10.5230 | − | 17.1952i | −0.547064 | − | 0.893933i | ||||
\(371\) | −28.5599 | − | 11.9119i | −1.48275 | − | 0.618436i | ||||
\(372\) | 8.21807 | − | 1.14108i | 0.426087 | − | 0.0591623i | ||||
\(373\) | −13.0687 | − | 7.54521i | −0.676671 | − | 0.390676i | 0.121929 | − | 0.992539i | \(-0.461092\pi\) |
−0.798600 | + | 0.601863i | \(0.794425\pi\) | |||||||
\(374\) | −69.5657 | −3.59715 | ||||||||
\(375\) | −18.9203 | + | 4.12587i | −0.977039 | + | 0.213059i | ||||
\(376\) | − | 13.5652i | − | 0.699574i | ||||||
\(377\) | − | 6.95463i | − | 0.358182i | ||||||
\(378\) | 27.0580 | − | 16.3061i | 1.39171 | − | 0.838697i | ||||
\(379\) | 4.62607 | 0.237625 | 0.118813 | − | 0.992917i | \(-0.462091\pi\) | ||||
0.118813 | + | 0.992917i | \(0.462091\pi\) | |||||||
\(380\) | 9.99927 | + | 16.3394i | 0.512952 | + | 0.838192i | ||||
\(381\) | 19.0118 | − | 2.63979i | 0.974003 | − | 0.135241i | ||||
\(382\) | 27.9846i | 1.43182i | ||||||||
\(383\) | 2.03184 | + | 1.17308i | 0.103822 | + | 0.0599418i | 0.551012 | − | 0.834497i | \(-0.314242\pi\) |
−0.447190 | + | 0.894439i | \(0.647575\pi\) | |||||||
\(384\) | 4.45831 | + | 32.1087i | 0.227512 | + | 1.63854i | ||||
\(385\) | 23.2110 | − | 18.6789i | 1.18294 | − | 0.951966i | ||||
\(386\) | − | 1.77633i | − | 0.0904129i | ||||||
\(387\) | 16.6902 | + | 4.22019i | 0.848413 | + | 0.214524i | ||||
\(388\) | −13.7376 | + | 23.7942i | −0.697420 | + | 1.20797i | ||||
\(389\) | −11.0970 | + | 6.40683i | −0.562638 | + | 0.324839i | −0.754204 | − | 0.656640i | \(-0.771977\pi\) |
0.191565 | + | 0.981480i | \(0.438644\pi\) | |||||||
\(390\) | −20.4903 | − | 24.9715i | −1.03757 | − | 1.26448i | ||||
\(391\) | 13.9367 | − | 8.04636i | 0.704809 | − | 0.406922i | ||||
\(392\) | 19.9227 | − | 5.23381i | 1.00625 | − | 0.264347i | ||||
\(393\) | −18.4368 | − | 7.48455i | −0.930015 | − | 0.377545i | ||||
\(394\) | 0.733191 | 0.0369376 | ||||||||
\(395\) | −0.00874517 | − | 0.341815i | −0.000440017 | − | 0.0171986i | ||||
\(396\) | 34.5473 | − | 35.5382i | 1.73607 | − | 1.78586i | ||||
\(397\) | 2.38016 | + | 4.12255i | 0.119457 | + | 0.206905i | 0.919552 | − | 0.392967i | \(-0.128551\pi\) |
−0.800096 | + | 0.599872i | \(0.795218\pi\) | |||||||
\(398\) | −17.2131 | − | 9.93797i | −0.862813 | − | 0.498145i | ||||
\(399\) | −8.42278 | + | 8.50095i | −0.421666 | + | 0.425580i | ||||
\(400\) | −1.00354 | + | 0.0513838i | −0.0501770 | + | 0.00256919i | ||||
\(401\) | 20.0840 | + | 11.5955i | 1.00295 | + | 0.579052i | 0.909119 | − | 0.416536i | \(-0.136756\pi\) |
0.0938285 | + | 0.995588i | \(0.470089\pi\) | |||||||
\(402\) | −18.7709 | + | 2.60634i | −0.936207 | + | 0.129993i | ||||
\(403\) | 4.58969 | − | 2.64986i | 0.228629 | − | 0.131999i | ||||
\(404\) | −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 | ||||
\(408\) | −11.5245 | + | 28.3886i | −0.570549 | + | 1.40544i | ||||
\(409\) | − | 10.9626i | − | 0.542066i | −0.962570 | − | 0.271033i | \(-0.912635\pi\) | ||
0.962570 | − | 0.271033i | \(-0.0873652\pi\) | |||||||
\(410\) | 2.57918 | − | 1.57839i | 0.127377 | − | 0.0779513i | ||||
\(411\) | 7.82298 | − | 6.09112i | 0.385879 | − | 0.300453i | ||||
\(412\) | −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 | ||||
\(415\) | 3.38066 | − | 6.21749i | 0.165950 | − | 0.305205i | ||||
\(416\) | 9.84230 | + | 17.0474i | 0.482558 | + | 0.835815i | ||||
\(417\) | −6.46121 | − | 8.29830i | −0.316407 | − | 0.406370i | ||||
\(418\) | −15.1103 | + | 26.1718i | −0.739069 | + | 1.28011i | ||||
\(419\) | 1.39994 | + | 2.42477i | 0.0683915 | + | 0.118458i | 0.898193 | − | 0.439601i | \(-0.144880\pi\) |
−0.829802 | + | 0.558058i | \(0.811547\pi\) | |||||||
\(420\) | −9.67683 | − | 32.1928i | −0.472181 | − | 1.57085i | ||||
\(421\) | 8.97588 | − | 15.5467i | 0.437457 | − | 0.757699i | −0.560035 | − | 0.828469i | \(-0.689212\pi\) |
0.997493 | + | 0.0707703i | \(0.0225457\pi\) | |||||||
\(422\) | 21.6214 | + | 37.4494i | 1.05251 | + | 1.82301i | ||||
\(423\) | −3.76783 | − | 13.3064i | −0.183198 | − | 0.646978i | ||||
\(424\) | −17.2086 | + | 29.8062i | −0.835723 | + | 1.44751i | ||||
\(425\) | 26.7641 | + | 13.6775i | 1.29825 | + | 0.663457i | ||||
\(426\) | 50.0084 | − | 6.94368i | 2.42291 | − | 0.336422i | ||||
\(427\) | −34.2480 | + | 4.42353i | −1.65738 | + | 0.214070i | ||||
\(428\) | 21.2121 | + | 36.7404i | 1.02532 | + | 1.77591i | ||||
\(429\) | 11.9082 | − | 29.3337i | 0.574934 | − | 1.41625i | ||||
\(430\) | 14.0853 | − | 25.9048i | 0.679256 | − | 1.24924i | ||||
\(431\) | −17.8638 | − | 10.3136i | −0.860467 | − | 0.496791i | 0.00370165 | − | 0.999993i | \(-0.498822\pi\) |
−0.864169 | + | 0.503202i | \(0.832155\pi\) | |||||||
\(432\) | −0.419995 | − | 0.956095i | −0.0202070 | − | 0.0460001i | ||||
\(433\) | −13.0171 | −0.625560 | −0.312780 | − | 0.949826i | \(-0.601260\pi\) | ||||
−0.312780 | + | 0.949826i | \(0.601260\pi\) | |||||||
\(434\) | 8.80448 | − | 1.13720i | 0.422628 | − | 0.0545874i | ||||
\(435\) | −6.94535 | − | 2.61466i | −0.333004 | − | 0.125363i | ||||
\(436\) | 27.5465 | − | 47.7120i | 1.31924 | − | 2.28499i | ||||
\(437\) | − | 6.99098i | − | 0.334424i | ||||||
\(438\) | 21.3054 | + | 8.64907i | 1.01801 | + | 0.413269i | ||||
\(439\) | 25.9894i | 1.24040i | 0.784442 | + | 0.620202i | \(0.212949\pi\) | ||||
−0.784442 | + | 0.620202i | \(0.787051\pi\) | |||||||
\(440\) | −17.2971 | − | 28.2644i | −0.824605 | − | 1.34745i | ||||
\(441\) | 18.0888 | − | 10.6676i | 0.861369 | − | 0.507979i | ||||
\(442\) | 50.1364i | 2.38475i | ||||||||
\(443\) | −12.5578 | −0.596641 | −0.298321 | − | 0.954466i | \(-0.596426\pi\) | ||||
−0.298321 | + | 0.954466i | \(0.596426\pi\) | |||||||
\(444\) | −13.6957 | − | 17.5897i | −0.649967 | − | 0.834770i | ||||
\(445\) | 9.60469 | − | 5.87783i | 0.455306 | − | 0.278636i | ||||
\(446\) | 21.8602 | − | 37.8631i | 1.03511 | − | 1.79287i | ||||
\(447\) | 10.3961 | − | 25.6089i | 0.491718 | − | 1.21126i | ||||
\(448\) | 4.36010 | + | 33.7569i | 0.205995 | + | 1.59486i | ||||
\(449\) | 27.6483i | 1.30480i | 0.757874 | + | 0.652401i | \(0.226238\pi\) | ||||
−0.757874 | + | 0.652401i | \(0.773762\pi\) | |||||||
\(450\) | −32.6417 | + | 11.0747i | −1.53874 | + | 0.522067i | ||||
\(451\) | 2.56655 | + | 1.48180i | 0.120854 | + | 0.0697750i | ||||
\(452\) | −15.8507 | − | 27.4542i | −0.745553 | − | 1.29134i | ||||
\(453\) | −19.8734 | + | 15.4738i | −0.933735 | + | 0.727024i | ||||
\(454\) | −24.6357 | + | 14.2234i | −1.15621 | + | 0.667538i | ||||
\(455\) | −13.4620 | − | 16.7283i | −0.631109 | − | 0.784234i | ||||
\(456\) | 8.17705 | + | 10.5020i | 0.382926 | + | 0.491801i | ||||
\(457\) | − | 4.63917i | − | 0.217011i | −0.994096 | − | 0.108506i | \(-0.965393\pi\) | ||
0.994096 | − | 0.108506i | \(-0.0346066\pi\) | |||||||
\(458\) | −2.25851 | − | 1.30395i | −0.105533 | − | 0.0609297i | ||||
\(459\) | −3.41950 | + | 31.0478i | −0.159608 | + | 1.44919i | ||||
\(460\) | 17.2525 | + | 9.38077i | 0.804402 | + | 0.437381i | ||||
\(461\) | −4.85128 | + | 8.40266i | −0.225947 | + | 0.391351i | −0.956603 | − | 0.291394i | \(-0.905881\pi\) |
0.730656 | + | 0.682745i | \(0.239214\pi\) | |||||||
\(462\) | 37.3256 | − | 37.6720i | 1.73654 | − | 1.75266i | ||||
\(463\) | −13.1716 | + | 7.60465i | −0.612138 | + | 0.353418i | −0.773802 | − | 0.633428i | \(-0.781647\pi\) |
0.161664 | + | 0.986846i | \(0.448314\pi\) | |||||||
\(464\) | −0.333498 | − | 0.192545i | −0.0154822 | − | 0.00893868i | ||||
\(465\) | −0.920784 | − | 5.57980i | −0.0427003 | − | 0.258757i | ||||
\(466\) | 4.52482 | + | 7.83722i | 0.209608 | + | 0.363052i | ||||
\(467\) | 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 | ||||
\(471\) | 0.254204 | + | 1.83078i | 0.0117131 | + | 0.0843578i | ||||
\(472\) | −8.56159 | −0.394079 | ||||||||
\(473\) | 28.8992 | 1.32879 | ||||||||
\(474\) | −0.0837046 | − | 0.602841i | −0.00384468 | − | 0.0276894i | ||||
\(475\) | 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 | ||||
\(479\) | 12.2449 | + | 21.2088i | 0.559484 | + | 0.969055i | 0.997539 | + | 0.0701067i | \(0.0223340\pi\) |
−0.438056 | + | 0.898948i | \(0.644333\pi\) | |||||||
\(480\) | 20.7249 | − | 3.42004i | 0.945958 | − | 0.156103i | ||||
\(481\) | −12.3319 | − | 7.11985i | −0.562288 | − | 0.324637i | ||||
\(482\) | 24.3169 | − | 14.0393i | 1.10760 | − | 0.639474i | ||||
\(483\) | −3.12040 | + | 11.8645i | −0.141983 | + | 0.539851i | ||||
\(484\) | 23.5568 | − | 40.8016i | 1.07077 | − | 1.85462i | ||||
\(485\) | 16.4526 | + | 8.94581i | 0.747072 | + | 0.406209i | ||||
\(486\) | −22.7973 | − | 27.6308i | −1.03411 | − | 1.25336i | ||||
\(487\) | 19.5953 | + | 11.3134i | 0.887949 | + | 0.512657i | 0.873271 | − | 0.487235i | \(-0.161994\pi\) |
0.0146777 | + | 0.999892i | \(0.495328\pi\) | |||||||
\(488\) | 38.4079i | 1.73864i | ||||||||
\(489\) | −3.09426 | − | 3.97404i | −0.139927 | − | 0.179712i | ||||
\(490\) | −10.0258 | − | 34.5430i | −0.452920 | − | 1.56050i | ||||
\(491\) | −10.0195 | + | 5.78479i | −0.452176 | + | 0.261064i | −0.708749 | − | 0.705461i | \(-0.750740\pi\) |
0.256573 | + | 0.966525i | \(0.417407\pi\) | |||||||
\(492\) | 2.63836 | − | 2.05428i | 0.118946 | − | 0.0926140i | ||||
\(493\) | 5.75926 | + | 9.97533i | 0.259384 | + | 0.449266i | ||||
\(494\) | 18.8622 | + | 10.8901i | 0.848650 | + | 0.489969i | ||||
\(495\) | −24.8176 | − | 22.9206i | −1.11547 | − | 1.03020i | ||||
\(496\) | − | 0.293455i | − | 0.0131765i | ||||||
\(497\) | 33.2847 | − | 4.29911i | 1.49302 | − | 0.192842i | ||||
\(498\) | 4.73836 | − | 11.6721i | 0.212331 | − | 0.523038i | ||||
\(499\) | 7.77544 | − | 13.4675i | 0.348077 | − | 0.602886i | −0.637831 | − | 0.770176i | \(-0.720168\pi\) |
0.985908 | + | 0.167290i | \(0.0535016\pi\) | |||||||
\(500\) | 2.81178 | + | 36.5699i | 0.125746 | + | 1.63545i | ||||
\(501\) | 26.3879 | + | 33.8907i | 1.17892 | + | 1.51412i | ||||
\(502\) | −44.3562 | −1.97971 | ||||||||
\(503\) | − | 7.19412i | − | 0.320770i | −0.987055 | − | 0.160385i | \(-0.948726\pi\) | ||
0.987055 | − | 0.160385i | \(-0.0512736\pi\) | |||||||
\(504\) | −9.18982 | − | 21.4728i | −0.409347 | − | 0.956477i | ||||
\(505\) | −13.1395 | + | 8.04105i | −0.584701 | + | 0.357822i | ||||
\(506\) | 30.9805i | 1.37725i | ||||||||
\(507\) | −0.277941 | − | 0.112832i | −0.0123438 | − | 0.00501104i | ||||
\(508\) | − | 36.3544i | − | 1.61297i | ||||||
\(509\) | 20.8063 | − | 36.0375i | 0.922221 | − | 1.59733i | 0.126250 | − | 0.991998i | \(-0.459706\pi\) |
0.795971 | − | 0.605335i | \(-0.206961\pi\) | |||||||
\(510\) | 50.0695 | + | 18.8492i | 2.21711 | + | 0.834659i | ||||
\(511\) | 14.1071 | + | 5.88387i | 0.624061 | + | 0.260287i | ||||
\(512\) | 2.27275 | 0.100442 | ||||||||
\(513\) | 10.9380 | + | 8.03035i | 0.482924 | + | 0.354549i | ||||
\(514\) | 7.45800 | + | 4.30588i | 0.328958 | + | 0.189924i | ||||
\(515\) | 30.9475 | + | 16.8272i | 1.36371 | + | 0.741495i | ||||
\(516\) | 12.2648 | − | 30.2122i | 0.539929 | − | 1.33002i | ||||
\(517\) | −11.6076 | − | 20.1050i | −0.510503 | − | 0.884217i | ||||
\(518\) | −14.4744 | − | 18.9594i | −0.635970 | − | 0.833029i | ||||
\(519\) | 5.84440 | − | 0.811496i | 0.256541 | − | 0.0356207i | ||||
\(520\) | −20.3703 | + | 12.4661i | −0.893297 | + | 0.546675i | ||||
\(521\) | −5.95581 | + | 10.3158i | −0.260929 | + | 0.451942i | −0.966489 | − | 0.256708i | \(-0.917362\pi\) |
0.705560 | + | 0.708650i | \(0.250695\pi\) | |||||||
\(522\) | −12.8066 | − | 3.23818i | −0.560528 | − | 0.141731i | ||||
\(523\) | −14.7582 | − | 25.5619i | −0.645330 | − | 1.11775i | −0.984225 | − | 0.176921i | \(-0.943386\pi\) |
0.338895 | − | 0.940824i | \(-0.389947\pi\) | |||||||
\(524\) | −18.8439 | + | 32.6385i | −0.823198 | + | 1.42582i | ||||
\(525\) | −21.7671 | + | 7.15490i | −0.949995 | + | 0.312265i | ||||
\(526\) | 28.3839 | + | 49.1623i | 1.23760 | + | 2.14358i | ||||
\(527\) | −4.38879 | + | 7.60161i | −0.191179 | + | 0.331131i | ||||
\(528\) | −1.07696 | − | 1.38317i | −0.0468687 | − | 0.0601947i | ||||
\(529\) | 7.91661 | + | 13.7120i | 0.344201 | + | 0.596173i | ||||
\(530\) | 52.7978 | + | 28.7080i | 2.29339 | + | 1.24699i | ||||
\(531\) | −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 | ||||
\(534\) | 15.8149 | − | 12.3138i | 0.684379 | − | 0.532870i | ||||
\(535\) | 24.6646 | − | 15.0941i | 1.06635 | − | 0.652576i | ||||
\(536\) | 14.0111i | 0.605187i | ||||||||
\(537\) | 0.455068 | − | 1.12098i | 0.0196376 | − | 0.0483737i | ||||
\(538\) | 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 | \(0.839472\pi\) | |||||||
\(542\) | −39.1190 | + | 22.5853i | −1.68030 | + | 0.970123i | ||||
\(543\) | −30.5778 | + | 4.24573i | −1.31222 | + | 0.182202i | ||||
\(544\) | −28.2344 | − | 16.3012i | −1.21054 | − | 0.698907i | ||||
\(545\) | −32.9906 | − | 17.9381i | −1.41316 | − | 0.768384i | ||||
\(546\) | −27.1505 | − | 26.9008i | −1.16193 | − | 1.15125i | ||||
\(547\) | 5.58675 | + | 3.22551i | 0.238872 | + | 0.137913i | 0.614658 | − | 0.788794i | \(-0.289294\pi\) |
−0.375786 | + | 0.926706i | \(0.622627\pi\) | |||||||
\(548\) | −9.38937 | − | 16.2629i | −0.401094 | − | 0.694715i | ||||
\(549\) | 10.6680 | + | 37.6750i | 0.455300 | + | 1.60793i | ||||
\(550\) | −48.5654 | + | 31.4558i | −2.07084 | + | 1.34128i | ||||
\(551\) | 5.00386 | 0.213171 | ||||||||
\(552\) | 12.6426 | + | 5.13236i | 0.538107 | + | 0.218448i | ||||
\(553\) | −0.0518249 | − | 0.401240i | −0.00220382 | − | 0.0170625i | ||||
\(554\) | −13.0559 | + | 7.53786i | −0.554694 | + | 0.320253i | ||||
\(555\) | −11.7466 | + | 9.63870i | −0.498617 | + | 0.409140i | ||||
\(556\) | −17.2510 | + | 9.95986i | −0.731605 | + | 0.422392i | ||||
\(557\) | −1.69987 | + | 2.94426i | −0.0720258 | + | 0.124752i | −0.899789 | − | 0.436325i | \(-0.856280\pi\) |
0.827763 | + | 0.561078i | \(0.189613\pi\) | |||||||
\(558\) | −2.74254 | − | 9.68547i | −0.116101 | − | 0.410019i | ||||
\(559\) | − | 20.8279i | − | 0.880924i | ||||||
\(560\) | −1.17488 | + | 0.182412i | −0.0496479 | + | 0.00770830i | ||||
\(561\) | 7.21133 | + | 51.9360i | 0.304463 | + | 2.19274i | ||||
\(562\) | −31.3432 | − | 18.0960i | −1.32213 | − | 0.763334i | ||||
\(563\) | 24.6855i | 1.04037i | 0.854054 | + | 0.520184i | \(0.174137\pi\) | ||||
−0.854054 | + | 0.520184i | \(0.825863\pi\) | |||||||
\(564\) | −25.9447 | + | 3.60243i | −1.09247 | + | 0.151690i | ||||
\(565\) | −18.4306 | + | 11.2791i | −0.775382 | + | 0.474514i | ||||
\(566\) | −37.2254 | −1.56470 | ||||||||
\(567\) | −14.9787 | − | 18.5105i | −0.629044 | − | 0.777369i | ||||
\(568\) | − | 37.3276i | − | 1.56623i | ||||||
\(569\) | − | 39.9610i | − | 1.67525i | −0.546245 | − | 0.837626i | \(-0.683943\pi\) | ||
0.546245 | − | 0.837626i | \(-0.316057\pi\) | |||||||
\(570\) | 17.9670 | − | 14.7428i | 0.752554 | − | 0.617507i | ||||
\(571\) | −16.5448 | −0.692376 | −0.346188 | − | 0.938165i | \(-0.612524\pi\) | ||||
−0.346188 | + | 0.938165i | \(0.612524\pi\) | |||||||
\(572\) | −51.9292 | − | 29.9813i | −2.17127 | − | 1.25358i | ||||
\(573\) | 20.8926 | − | 2.90095i | 0.872802 | − | 0.121189i | ||||
\(574\) | 2.84381 | − | 2.17109i | 0.118698 | − | 0.0906195i | ||||
\(575\) | 6.09118 | − | 11.9192i | 0.254020 | − | 0.497064i | ||||
\(576\) | 37.1347 | − | 10.5150i | 1.54728 | − | 0.438127i | ||||
\(577\) | 10.2849 | − | 17.8139i | 0.428164 | − | 0.741602i | −0.568546 | − | 0.822651i | \(-0.692494\pi\) |
0.996710 | + | 0.0810497i | \(0.0258273\pi\) | |||||||
\(578\) | −21.9863 | − | 38.0814i | −0.914510 | − | 1.58398i | ||||
\(579\) | −1.32617 | + | 0.184139i | −0.0551136 | + | 0.00765254i | ||||
\(580\) | −6.71437 | + | 12.3486i | −0.278799 | + | 0.512749i | ||||
\(581\) | 3.22345 | − | 7.72851i | 0.133731 | − | 0.320632i | ||||
\(582\) | 30.8864 | + | 12.5385i | 1.28028 | + | 0.519738i | ||||
\(583\) | 58.9008i | 2.43942i | ||||||||
\(584\) | 8.50015 | − | 14.7227i | 0.351739 | − | 0.609229i | ||||
\(585\) | −16.5190 | + | 17.8862i | −0.682978 | + | 0.739502i | ||||
\(586\) | 35.2238 | − | 20.3364i | 1.45508 | − | 0.840091i | ||||
\(587\) | −19.8410 | − | 11.4552i | −0.818924 | − | 0.472806i | 0.0311213 | − | 0.999516i | \(-0.490092\pi\) |
−0.850045 | + | 0.526710i | \(0.823426\pi\) | |||||||
\(588\) | −15.3008 | − | 36.7139i | −0.630996 | − | 1.51406i | ||||
\(589\) | 1.90657 | + | 3.30228i | 0.0785589 | + | 0.136068i | ||||
\(590\) | 0.382361 | + | 14.9450i | 0.0157415 | + | 0.615276i | ||||
\(591\) | −0.0760043 | − | 0.547383i | −0.00312640 | − | 0.0225163i | ||||
\(592\) | −0.682841 | + | 0.394238i | −0.0280646 | + | 0.0162031i | ||||
\(593\) | −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 | ||||
\(595\) | 33.1621 | + | 12.8459i | 1.35952 | + | 0.526632i | ||||
\(596\) | −45.3352 | − | 26.1743i | −1.85700 | − | 1.07214i | ||||
\(597\) | −5.63510 | + | 13.8810i | −0.230629 | + | 0.568113i | ||||
\(598\) | 22.3279 | 0.913055 | ||||||||
\(599\) | 6.82479i | 0.278853i | 0.990232 | + | 0.139427i | \(0.0445260\pi\) | ||||
−0.990232 | + | 0.139427i | \(0.955474\pi\) | |||||||
\(600\) | 4.79106 | + | 25.0298i | 0.195594 | + | 1.02184i | ||||
\(601\) | −23.1815 | − | 13.3839i | −0.945595 | − | 0.545940i | −0.0538853 | − | 0.998547i | \(-0.517161\pi\) |
−0.891710 | + | 0.452608i | \(0.850494\pi\) | |||||||
\(602\) | 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 | ||||
\(605\) | −28.2124 | − | 15.3401i | −1.14700 | − | 0.623662i | ||||
\(606\) | −21.6353 | + | 16.8457i | −0.878875 | + | 0.684308i | ||||
\(607\) | −9.30933 | + | 16.1242i | −0.377854 | + | 0.654463i | −0.990750 | − | 0.135701i | \(-0.956671\pi\) |
0.612896 | + | 0.790164i | \(0.290005\pi\) | |||||||
\(608\) | −12.2656 | + | 7.08153i | −0.497434 | + | 0.287194i | ||||
\(609\) | −8.49209 | − | 2.23346i | −0.344117 | − | 0.0905043i | ||||
\(610\) | 67.0444 | − | 1.71530i | 2.71455 | − | 0.0694504i | ||||
\(611\) | −14.4898 | + | 8.36569i | −0.586194 | + | 0.338440i | ||||
\(612\) | 57.3561 | + | 14.5027i | 2.31848 | + | 0.586237i | ||||
\(613\) | −14.3042 | − | 8.25853i | −0.577741 | − | 0.333559i | 0.182494 | − | 0.983207i | \(-0.441583\pi\) |
−0.760235 | + | 0.649648i | \(0.774916\pi\) | |||||||
\(614\) | −14.6153 | −0.589825 | ||||||||
\(615\) | −1.44575 | − | 1.76193i | −0.0582984 | − | 0.0710481i | ||||
\(616\) | −23.7922 | − | 31.1644i | −0.958616 | − | 1.25565i | ||||
\(617\) | −18.5590 | − | 32.1451i | −0.747156 | − | 1.29411i | −0.949181 | − | 0.314731i | \(-0.898086\pi\) |
0.202025 | − | 0.979380i | \(-0.435248\pi\) | |||||||
\(618\) | 58.0977 | + | 23.5851i | 2.33703 | + | 0.948732i | ||||
\(619\) | −36.0085 | + | 20.7895i | −1.44730 | + | 0.835600i | −0.998320 | − | 0.0579408i | \(-0.981547\pi\) |
−0.448982 | + | 0.893541i | \(0.648213\pi\) | |||||||
\(620\) | −10.7078 | + | 0.273953i | −0.430034 | + | 0.0110022i | ||||
\(621\) | 13.8269 | + | 1.52285i | 0.554855 | + | 0.0611097i | ||||
\(622\) | 61.9617 | 2.48444 | ||||||||
\(623\) | 10.5902 | − | 8.08499i | 0.424286 | − | 0.323918i | ||||
\(624\) | −0.996858 | + | 0.776173i | −0.0399063 | + | 0.0310718i | ||||
\(625\) | 24.8693 | − | 2.55343i | 0.994770 | − | 0.102137i | ||||
\(626\) | 22.9242 | 0.916237 | ||||||||
\(627\) | 21.1056 | + | 8.56796i | 0.842877 | + | 0.342171i | ||||
\(628\) | 3.50082 | 0.139698 | ||||||||
\(629\) | 23.5843 | 0.940367 | ||||||||
\(630\) | −37.0723 | + | 17.0006i | −1.47700 | + | 0.677321i | ||||
\(631\) | −13.2963 | −0.529317 | −0.264658 | − | 0.964342i | \(-0.585259\pi\) | ||||
−0.264658 | + | 0.964342i | \(0.585259\pi\) | |||||||
\(632\) | −0.449976 | −0.0178991 | ||||||||
\(633\) | 25.7175 | − | 20.0241i | 1.02218 | − | 0.795887i | ||||
\(634\) | 65.5237 | 2.60228 | ||||||||
\(635\) | −24.7715 | + | 0.633766i | −0.983026 | + | 0.0251502i | ||||
\(636\) | 61.5768 | + | 24.9975i | 2.44168 | + | 0.991216i | ||||
\(637\) | −17.8768 | − | 18.0528i | −0.708306 | − | 0.715279i | ||||
\(638\) | −22.1746 | −0.877901 | ||||||||
\(639\) | −10.3680 | − | 36.6153i | −0.410150 | − | 1.44848i | ||||
\(640\) | −1.07036 | − | 41.8362i | −0.0423096 | − | 1.65372i | ||||
\(641\) | −21.2639 | + | 12.2767i | −0.839873 | + | 0.484901i | −0.857221 | − | 0.514948i | \(-0.827811\pi\) |
0.0173479 | + | 0.999850i | \(0.494478\pi\) | |||||||
\(642\) | 40.6124 | − | 31.6216i | 1.60284 | − | 1.24800i | ||||
\(643\) | 9.11132 | + | 15.7813i | 0.359316 | + | 0.622353i | 0.987847 | − | 0.155432i | \(-0.0496769\pi\) |
−0.628531 | + | 0.777784i | \(0.716344\pi\) | |||||||
\(644\) | 21.4453 | + | 8.94454i | 0.845064 | + | 0.352464i | ||||
\(645\) | −20.8000 | − | 7.83042i | −0.819001 | − | 0.308323i | ||||
\(646\) | −36.0731 | −1.41928 | ||||||||
\(647\) | −14.3597 | − | 8.29061i | −0.564540 | − | 0.325937i | 0.190426 | − | 0.981702i | \(-0.439013\pi\) |
−0.754966 | + | 0.655764i | \(0.772347\pi\) | |||||||
\(648\) | −22.5523 | + | 13.8851i | −0.885938 | + | 0.545459i | ||||
\(649\) | −12.6891 | + | 7.32606i | −0.498091 | + | 0.287573i | ||||
\(650\) | 22.6704 | + | 35.0014i | 0.889207 | + | 1.37287i | ||||
\(651\) | −1.76170 | − | 6.45533i | −0.0690464 | − | 0.253004i | ||||
\(652\) | −8.26147 | + | 4.76976i | −0.323544 | + | 0.186798i | ||||
\(653\) | 14.9733 | − | 25.9346i | 0.585952 | − | 1.01490i | −0.408805 | − | 0.912622i | \(-0.634054\pi\) |
0.994756 | − | 0.102276i | \(-0.0326125\pi\) | |||||||
\(654\) | −61.9331 | − | 25.1422i | −2.42178 | − | 0.983136i | ||||
\(655\) | 22.5680 | + | 12.2710i | 0.881805 | + | 0.479467i | ||||
\(656\) | −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 | −0.124499 | − | 0.992220i | \(-0.539732\pi\) |
−0.921537 | + | 0.388291i | \(0.873066\pi\) | |||||||
\(660\) | −49.4646 | + | 40.5881i | −1.92541 | + | 1.57989i | ||||
\(661\) | − | 43.8123i | − | 1.70410i | −0.523459 | − | 0.852051i | \(-0.675359\pi\) | ||
0.523459 | − | 0.852051i | \(-0.324641\pi\) | |||||||
\(662\) | 57.6546 | 2.24081 | ||||||||
\(663\) | 37.4306 | − | 5.19725i | 1.45369 | − | 0.201845i | ||||
\(664\) | −8.06576 | − | 4.65677i | −0.313012 | − | 0.180718i | ||||
\(665\) | 12.0360 | − | 9.68592i | 0.466736 | − | 0.375604i | ||||
\(666\) | −18.8527 | + | 19.3935i | −0.730529 | + | 0.751481i | ||||
\(667\) | 4.44244 | − | 2.56484i | 0.172012 | − | 0.0993111i | ||||
\(668\) | 70.4538 | − | 40.6765i | 2.72594 | − | 1.57382i | ||||
\(669\) | −30.5337 | − | 12.3954i | −1.18050 | − | 0.479232i | ||||
\(670\) | 24.4576 | − | 0.625736i | 0.944880 | − | 0.0241743i | ||||
\(671\) | 32.8652 | + | 56.9242i | 1.26875 | + | 2.19754i | ||||
\(672\) | 23.9768 | − | 6.54343i | 0.924926 | − | 0.252418i | ||||
\(673\) | −8.68818 | − | 5.01613i | −0.334905 | − | 0.193357i | 0.323112 | − | 0.946361i | \(-0.395271\pi\) |
−0.658017 | + | 0.753003i | \(0.728604\pi\) | |||||||
\(674\) | −69.7819 | + | 40.2886i | −2.68790 | + | 1.55186i | ||||
\(675\) | 11.6518 | + | 23.2214i | 0.448479 | + | 0.893794i | ||||
\(676\) | −0.284077 | + | 0.492036i | −0.0109260 | + | 0.0189245i | ||||
\(677\) | 27.6141i | 1.06130i | 0.847592 | + | 0.530649i | \(0.178052\pi\) | ||||
−0.847592 | + | 0.530649i | \(0.821948\pi\) | |||||||
\(678\) | −30.3476 | + | 23.6292i | −1.16549 | + | 0.907474i | ||||
\(679\) | 20.4510 | + | 8.52981i | 0.784836 | + | 0.327344i | ||||
\(680\) | 18.8946 | − | 34.7497i | 0.724574 | − | 1.33259i | ||||
\(681\) | 13.1726 | + | 16.9180i | 0.504777 | + | 0.648298i | ||||
\(682\) | −8.44898 | − | 14.6341i | −0.323528 | − | 0.560367i | ||||
\(683\) | −3.99993 | + | 6.92808i | −0.153053 | + | 0.265096i | −0.932348 | − | 0.361561i | \(-0.882244\pi\) |
0.779295 | + | 0.626657i | \(0.215577\pi\) | |||||||
\(684\) | 17.9145 | − | 18.4283i | 0.684976 | − | 0.704622i | ||||
\(685\) | −10.9176 | + | 6.68131i | −0.417141 | + | 0.255280i | ||||
\(686\) | −15.9971 | − | 39.4376i | −0.610773 | − | 1.50573i | ||||
\(687\) | −0.739377 | + | 1.82132i | −0.0282090 | + | 0.0694877i | ||||
\(688\) | −0.998765 | − | 0.576637i | −0.0380776 | − | 0.0219841i | ||||
\(689\) | 42.4502 | 1.61722 | ||||||||
\(690\) | 8.39437 | − | 22.2981i | 0.319568 | − | 0.848873i | ||||
\(691\) | 2.74942i | 0.104593i | 0.998632 | + | 0.0522965i | \(0.0166541\pi\) | ||||
−0.998632 | + | 0.0522965i | \(0.983346\pi\) | |||||||
\(692\) | − | 11.1757i | − | 0.424836i | ||||||
\(693\) | −31.9943 | − | 23.9612i | −1.21536 | − | 0.910211i | ||||
\(694\) | 70.7955 | 2.68736 | ||||||||
\(695\) | 7.08726 | + | 11.5810i | 0.268835 | + | 0.439292i | ||||
\(696\) | −3.67354 | + | 9.04909i | −0.139245 | + | 0.343005i | ||||
\(697\) | 3.53752i | 0.133993i | ||||||||
\(698\) | 11.8952 | + | 6.86771i | 0.450241 | + | 0.259947i | ||||
\(699\) | 5.38203 | − | 4.19055i | 0.203567 | − | 0.158501i | ||||
\(700\) | 7.75277 | + | 42.6997i | 0.293027 | + | 1.61390i | ||||
\(701\) | − | 23.6035i | − | 0.891491i | −0.895160 | − | 0.445745i | \(-0.852939\pi\) | ||
0.895160 | − | 0.445745i | \(-0.147061\pi\) | |||||||
\(702\) | −25.6475 | + | 34.9339i | −0.968001 | + | 1.31850i | ||||
\(703\) | 5.12273 | − | 8.87283i | 0.193207 | − | 0.334645i | ||||
\(704\) | 56.1079 | − | 32.3939i | 2.11465 | − | 1.22089i | ||||
\(705\) | 2.90695 | + | 17.6156i | 0.109482 | + | 0.663442i | ||||
\(706\) | 2.26799 | − | 1.30942i | 0.0853569 | − | 0.0492808i | ||||
\(707\) | −14.4877 | + | 11.0605i | −0.544865 | + | 0.415973i | ||||
\(708\) | 2.27364 | + | 16.3748i | 0.0854488 | + | 0.615402i | ||||
\(709\) | 43.5908 | 1.63709 | 0.818544 | − | 0.574445i | \(-0.194782\pi\) | ||||
0.818544 | + | 0.574445i | \(0.194782\pi\) | |||||||
\(710\) | −65.1586 | + | 1.66705i | −2.44536 | + | 0.0625633i | ||||
\(711\) | −0.441389 | + | 0.124984i | −0.0165534 | + | 0.00468725i | ||||
\(712\) | −7.40942 | − | 12.8335i | −0.277680 | − | 0.480955i | ||||
\(713\) | 3.38532 | + | 1.95451i | 0.126781 | + | 0.0731972i | ||||
\(714\) | 61.2201 | + | 16.1011i | 2.29110 | + | 0.602570i | ||||
\(715\) | −19.5236 | + | 35.9066i | −0.730143 | + | 1.34283i | ||||
\(716\) | −1.98445 | − | 1.14572i | −0.0741625 | − | 0.0428177i | ||||
\(717\) | 3.14865 | + | 4.04389i | 0.117588 | + | 0.151022i | ||||
\(718\) | 10.2653 | − | 5.92666i | 0.383097 | − | 0.221181i | ||||
\(719\) | −20.3284 | − | 35.2098i | −0.758121 | − | 1.31310i | −0.943808 | − | 0.330496i | \(-0.892784\pi\) |
0.185686 | − | 0.982609i | \(-0.440549\pi\) | |||||||
\(720\) | 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 | ||||
\(723\) | −13.0022 | − | 16.6990i | −0.483556 | − | 0.621043i | ||||
\(724\) | 58.4710i | 2.17306i | ||||||||
\(725\) | 8.53126 | + | 4.35982i | 0.316843 | + | 0.161920i | ||||
\(726\) | −52.9631 | − | 21.5007i | −1.96565 | − | 0.797966i | ||||
\(727\) | −19.7944 | + | 34.2849i | −0.734134 | + | 1.27156i | 0.220969 | + | 0.975281i | \(0.429078\pi\) |
−0.955102 | + | 0.296276i | \(0.904255\pi\) | |||||||
\(728\) | −22.4604 | + | 17.1472i | −0.832436 | + | 0.635518i | ||||
\(729\) | −18.2653 | + | 19.8842i | −0.676491 | + | 0.736451i | ||||
\(730\) | −26.0794 | − | 14.1802i | −0.965241 | − | 0.524834i | ||||
\(731\) | 17.2479 | + | 29.8743i | 0.637937 | + | 1.10494i | ||||
\(732\) | 73.4585 | − | 10.1997i | 2.71510 | − | 0.376993i | ||||
\(733\) | 18.5351 | − | 32.1038i | 0.684611 | − | 1.18578i | −0.288948 | − | 0.957345i | \(-0.593306\pi\) |
0.973559 | − | 0.228436i | \(-0.0733610\pi\) | |||||||
\(734\) | 9.74793 | + | 16.8839i | 0.359803 | + | 0.623196i | ||||
\(735\) | −24.7497 | + | 11.0658i | −0.912906 | + | 0.408170i | ||||
\(736\) | −7.25960 | + | 12.5740i | −0.267592 | + | 0.463484i | ||||
\(737\) | 11.9891 | + | 20.7658i | 0.441626 | + | 0.764918i | ||||
\(738\) | −2.90892 | − | 2.82781i | −0.107079 | − | 0.104093i | ||||
\(739\) | 22.0824 | − | 38.2479i | 0.812315 | − | 1.40697i | −0.0989252 | − | 0.995095i | \(-0.531540\pi\) |
0.911240 | − | 0.411876i | \(-0.135126\pi\) | |||||||
\(740\) | 15.0227 | + | 24.5479i | 0.552245 | + | 0.902399i | ||||
\(741\) | 6.17498 | − | 15.2110i | 0.226844 | − | 0.558788i | ||||
\(742\) | 65.6291 | + | 27.3730i | 2.40932 | + | 1.00489i | ||||
\(743\) | 8.00062 | + | 13.8575i | 0.293514 | + | 0.508382i | 0.974638 | − | 0.223786i | \(-0.0718418\pi\) |
−0.681124 | + | 0.732168i | \(0.738508\pi\) | |||||||
\(744\) | −7.37161 | + | 1.02355i | −0.270256 | + | 0.0375252i | ||||
\(745\) | −17.0445 | + | 31.3471i | −0.624462 | + | 1.14847i | ||||
\(746\) | 30.0312 | + | 17.3385i | 1.09952 | + | 0.634808i | ||||
\(747\) | −9.20528 | − | 2.32759i | −0.336804 | − | 0.0851620i | ||||
\(748\) | 99.3123 | 3.63122 | ||||||||
\(749\) | 27.1953 | − | 20.7621i | 0.993695 | − | 0.758630i | ||||
\(750\) | 43.4778 | − | 9.48104i | 1.58759 | − | 0.346199i | ||||
\(751\) | −16.7868 | + | 29.0756i | −0.612559 | + | 1.06098i | 0.378249 | + | 0.925704i | \(0.376526\pi\) |
−0.990808 | + | 0.135279i | \(0.956807\pi\) | |||||||
\(752\) | 0.926445i | 0.0337840i | ||||||||
\(753\) | 4.59806 | + | 33.1152i | 0.167563 | + | 1.20679i | ||||
\(754\) | 15.9814i | 0.582008i | ||||||||
\(755\) | 27.7351 | − | 16.9731i | 1.00938 | − | 0.617716i | ||||
\(756\) | −38.6282 | + | 23.2787i | −1.40489 | + | 0.846639i | ||||
\(757\) | 18.4257i | 0.669692i | 0.942273 | + | 0.334846i | \(0.108684\pi\) | ||||
−0.942273 | + | 0.334846i | \(0.891316\pi\) | |||||||
\(758\) | −10.6305 | −0.386116 | ||||||||
\(759\) | 23.1293 | − | 3.21151i | 0.839541 | − | 0.116571i | ||||
\(760\) | −8.96936 | − | 14.6564i | −0.325353 | − | 0.531644i | ||||
\(761\) | −13.8388 | + | 23.9696i | −0.501658 | + | 0.868897i | 0.498340 | + | 0.866982i | \(0.333943\pi\) |
−0.999998 | + | 0.00191544i | \(0.999390\pi\) | |||||||
\(762\) | −43.6881 | + | 6.06610i | −1.58265 | + | 0.219752i | ||||
\(763\) | −41.0082 | − | 17.1039i | −1.48460 | − | 0.619204i | ||||
\(764\) | − | 39.9510i | − | 1.44538i | ||||||
\(765\) | 8.88207 | − | 39.3346i | 0.321132 | − | 1.42215i | ||||
\(766\) | −4.66907 | − | 2.69569i | −0.168700 | − | 0.0973991i | ||||
\(767\) | 5.27994 | + | 9.14512i | 0.190647 | + | 0.330211i | ||||
\(768\) | −4.11585 | − | 29.6424i | −0.148518 | − | 1.06963i | ||||
\(769\) | −23.5650 | + | 13.6052i | −0.849775 | + | 0.490618i | −0.860575 | − | 0.509324i | \(-0.829895\pi\) |
0.0108001 | + | 0.999942i | \(0.496562\pi\) | |||||||
\(770\) | −53.3376 | + | 42.9232i | −1.92215 | + | 1.54684i | ||||
\(771\) | 2.44155 | − | 6.01432i | 0.0879303 | − | 0.216600i | ||||
\(772\) | 2.53590i | 0.0912691i | ||||||||
\(773\) | −22.1087 | − | 12.7645i | −0.795195 | − | 0.459106i | 0.0465934 | − | 0.998914i | \(-0.485163\pi\) |
−0.841788 | + | 0.539808i | \(0.818497\pi\) | |||||||
\(774\) | −38.3533 | − | 9.69777i | −1.37858 | − | 0.348579i | ||||
\(775\) | 0.373336 | + | 7.29136i | 0.0134106 | + | 0.261913i | ||||
\(776\) | 12.3226 | − | 21.3434i | 0.442356 | − | 0.766183i | ||||
\(777\) | −12.6542 | + | 12.7716i | −0.453967 | + | 0.458180i | ||||
\(778\) | 25.5002 | − | 14.7226i | 0.914228 | − | 0.527830i | ||||
\(779\) | 1.33088 | + | 0.768382i | 0.0476836 | + | 0.0275301i | ||||
\(780\) | 29.2521 | + | 35.6494i | 1.04739 | + | 1.27645i | ||||
\(781\) | −31.9408 | − | 55.3231i | −1.14293 | − | 1.97962i | ||||
\(782\) | −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 | ||||
\(786\) | 42.3669 | + | 17.1991i | 1.51118 | + | 0.613471i | ||||
\(787\) | −31.8685 | −1.13599 | −0.567995 | − | 0.823032i | \(-0.692281\pi\) | ||||
−0.567995 | + | 0.823032i | \(0.692281\pi\) | |||||||
\(788\) | −1.04671 | −0.0372874 | ||||||||
\(789\) | 33.7610 | − | 26.2870i | 1.20193 | − | 0.935841i | ||||
\(790\) | 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 | ||||
\(794\) | −5.46947 | − | 9.47341i | −0.194104 | − | 0.336199i | ||||
\(795\) | 15.9595 | − | 42.3935i | 0.566026 | − | 1.50354i | ||||
\(796\) | 24.5735 | + | 14.1875i | 0.870984 | + | 0.502863i | ||||
\(797\) | −8.87275 | + | 5.12268i | −0.314289 | + | 0.181455i | −0.648844 | − | 0.760921i | \(-0.724747\pi\) |
0.334555 | + | 0.942376i | \(0.391414\pi\) | |||||||
\(798\) | 19.3551 | − | 19.5347i | 0.685163 | − | 0.691523i | ||||
\(799\) | 13.8556 | − | 23.9985i | 0.490174 | − | 0.849007i | ||||
\(800\) | −27.0821 | + | 1.38667i | −0.957497 | + | 0.0490263i | ||||
\(801\) | −10.8326 | − | 10.5306i | −0.382751 | − | 0.372079i | ||||
\(802\) | −46.1520 | − | 26.6459i | −1.62968 | − | 0.940898i | ||||
\(803\) | − | 29.0939i | − | 1.02670i | ||||||
\(804\) | 26.7974 | − | 3.72083i | 0.945073 | − | 0.131224i | ||||
\(805\) | 5.72085 | − | 14.7685i | 0.201633 | − | 0.520522i | ||||
\(806\) | −10.5469 | + | 6.08924i | −0.371498 | + | 0.214484i | ||||
\(807\) | −31.6244 | − | 12.8381i | −1.11323 | − | 0.451924i | ||||
\(808\) | 10.1363 | + | 17.5566i | 0.356594 | + | 0.617640i | ||||
\(809\) | −5.79707 | − | 3.34694i | −0.203814 | − | 0.117672i | 0.394619 | − | 0.918845i | \(-0.370877\pi\) |
−0.598433 | + | 0.801173i | \(0.704210\pi\) | |||||||
\(810\) | 25.2449 | + | 38.7469i | 0.887014 | + | 1.36143i | ||||
\(811\) | − | 3.93422i | − | 0.138149i | −0.997611 | − | 0.0690746i | \(-0.977995\pi\) | ||
0.997611 | − | 0.0690746i | \(-0.0220046\pi\) | |||||||
\(812\) | −6.40214 | + | 15.3497i | −0.224671 | + | 0.538668i | ||||
\(813\) | 20.9168 | + | 26.8640i | 0.733585 | + | 0.942162i | ||||
\(814\) | −22.7014 | + | 39.3200i | −0.795683 | + | 1.37816i | ||||
\(815\) | 3.39408 | + | 5.54611i | 0.118889 | + | 0.194272i | ||||
\(816\) | 0.787074 | − | 1.93881i | 0.0275531 | − | 0.0678721i | ||||
\(817\) | 14.9856 | 0.524281 | ||||||||
\(818\) | 25.1915i | 0.880799i | ||||||||
\(819\) | −17.2690 | + | 23.0585i | −0.603427 | + | 0.805728i | ||||
\(820\) | −3.68206 | + | 2.25332i | −0.128583 | + | 0.0786895i | ||||
\(821\) | − | 23.6393i | − | 0.825017i | −0.910954 | − | 0.412508i | \(-0.864653\pi\) | ||
0.910954 | − | 0.412508i | \(-0.135347\pi\) | |||||||
\(822\) | −17.9768 | + | 13.9971i | −0.627013 | + | 0.488204i | ||||
\(823\) | 26.5103i | 0.924092i | 0.886856 | + | 0.462046i | \(0.152884\pi\) | ||||
−0.886856 | + | 0.462046i | \(0.847116\pi\) | |||||||
\(824\) | 23.1790 | − | 40.1472i | 0.807479 | − | 1.39860i | ||||
\(825\) | 28.5186 | + | 32.9970i | 0.992889 | + | 1.14881i | ||||
\(826\) | 2.26591 | + | 17.5432i | 0.0788412 | + | 0.610407i | ||||
\(827\) | 19.6354 | 0.682789 | 0.341395 | − | 0.939920i | \(-0.389101\pi\) | ||||
0.341395 | + | 0.939920i | \(0.389101\pi\) | |||||||
\(828\) | 6.45867 | − | 25.5431i | 0.224454 | − | 0.887685i | ||||
\(829\) | −6.83587 | − | 3.94669i | −0.237420 | − | 0.137074i | 0.376571 | − | 0.926388i | \(-0.377103\pi\) |
−0.613990 | + | 0.789314i | \(0.710437\pi\) | |||||||
\(830\) | −7.76858 | + | 14.2875i | −0.269651 | + | 0.495925i | ||||
\(831\) | 6.98099 | + | 8.96586i | 0.242168 | + | 0.311022i | ||||
\(832\) | −23.3465 | − | 40.4373i | −0.809394 | − | 1.40191i | ||||
\(833\) | 40.5914 | + | 11.0898i | 1.40641 | + | 0.384239i | ||||
\(834\) | 14.8475 | + | 19.0691i | 0.514128 | + | 0.660308i | ||||
\(835\) | −28.9447 | − | 47.2973i | −1.00167 | − | 1.63679i | ||||
\(836\) | 21.5716 | − | 37.3630i | 0.746068 | − | 1.29223i | ||||
\(837\) | −6.94664 | + | 3.05153i | −0.240111 | + | 0.105476i | ||||
\(838\) | −3.21699 | − | 5.57198i | −0.111129 | − | 0.192481i | ||||
\(839\) | 1.57247 | − | 2.72360i | 0.0542876 | − | 0.0940290i | −0.837604 | − | 0.546277i | \(-0.816045\pi\) |
0.891892 | + | 0.452248i | \(0.149378\pi\) | |||||||
\(840\) | 8.68013 | + | 28.8770i | 0.299493 | + | 0.996351i | ||||
\(841\) | −12.6642 | − | 21.9350i | −0.436696 | − | 0.756380i | ||||
\(842\) | −20.6261 | + | 35.7254i | −0.710822 | + | 1.23118i | ||||
\(843\) | −10.2609 | + | 25.2760i | −0.353405 | + | 0.870550i | ||||
\(844\) | −30.8669 | − | 53.4630i | −1.06248 | − | 1.84027i | ||||
\(845\) | 0.340220 | + | 0.184989i | 0.0117039 | + | 0.00636382i | ||||
\(846\) | 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 | ||||
\(849\) | 3.85887 | + | 27.7916i | 0.132436 | + | 0.953804i | ||||
\(850\) | −61.5024 | − | 31.4302i | −2.10952 | − | 1.07805i | ||||
\(851\) | − | 10.5031i | − | 0.360041i | ||||||
\(852\) | −71.3923 | + | 9.91284i | −2.44586 | + | 0.339608i | ||||
\(853\) | 9.31488 | − | 16.1338i | 0.318935 | − | 0.552412i | −0.661331 | − | 0.750094i | \(-0.730008\pi\) |
0.980266 | + | 0.197682i | \(0.0633414\pi\) | |||||||
\(854\) | 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 | ||||
\(857\) | 7.10839 | − | 4.10403i | 0.242818 | − | 0.140191i | −0.373653 | − | 0.927568i | \(-0.621895\pi\) |
0.616471 | + | 0.787377i | \(0.288562\pi\) | |||||||
\(858\) | −27.3645 | + | 67.4074i | −0.934207 | + | 2.30125i | ||||
\(859\) | −42.9187 | − | 24.7791i | −1.46437 | − | 0.845453i | −0.465159 | − | 0.885227i | \(-0.654003\pi\) |
−0.999209 | + | 0.0397741i | \(0.987336\pi\) | |||||||
\(860\) | −20.1083 | + | 36.9819i | −0.685688 | + | 1.26107i | ||||
\(861\) | −1.91568 | − | 1.89806i | −0.0652862 | − | 0.0646858i | ||||
\(862\) | 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 | \(0.891638\pi\) | |||||||
\(864\) | −11.3342 | − | 25.8017i | −0.385597 | − | 0.877792i | ||||
\(865\) | −7.61498 | + | 0.194825i | −0.258917 | + | 0.00662427i | ||||
\(866\) | 29.9125 | 1.01647 | ||||||||
\(867\) | −26.1515 | + | 20.3621i | −0.888152 | + | 0.691531i | ||||
\(868\) | −12.5693 | + | 1.62348i | −0.426631 | + | 0.0551043i | ||||
\(869\) | −0.666908 | + | 0.385040i | −0.0226233 | + | 0.0130616i | ||||
\(870\) | 15.9600 | + | 6.00835i | 0.541096 | + | 0.203702i | ||||
\(871\) | 14.9660 | − | 8.64065i | 0.507105 | − | 0.292777i | ||||
\(872\) | −24.7092 | + | 42.7977i | −0.836761 | + | 1.44931i | ||||
\(873\) | 6.15920 | − | 24.3588i | 0.208457 | − | 0.824419i | ||||
\(874\) | 16.0649i | 0.543403i | ||||||||
\(875\) | 28.9599 | − | 6.02702i | 0.979023 | − | 0.203751i | ||||
\(876\) | −30.4158 | − | 12.3475i | −1.02765 | − | 0.417182i | ||||
\(877\) | 21.2470 | + | 12.2669i | 0.717459 | + | 0.414225i | 0.813817 | − | 0.581121i | \(-0.197386\pi\) |
−0.0963575 | + | 0.995347i | \(0.530719\pi\) | |||||||
\(878\) | − | 59.7222i | − | 2.01553i | ||||||
\(879\) | −18.8341 | − | 24.1891i | −0.635258 | − | 0.815878i | ||||
\(880\) | 1.18131 | + | 1.93033i | 0.0398220 | + | 0.0650714i | ||||
\(881\) | −32.5316 | −1.09602 | −0.548008 | − | 0.836473i | \(-0.684614\pi\) | ||||
−0.548008 | + | 0.836473i | \(0.684614\pi\) | |||||||
\(882\) | −41.5670 | + | 24.5135i | −1.39963 | + | 0.825413i | ||||
\(883\) | − | 17.6949i | − | 0.595481i | −0.954647 | − | 0.297741i | \(-0.903767\pi\) | ||
0.954647 | − | 0.297741i | \(-0.0962330\pi\) | |||||||
\(884\) | − | 71.5750i | − | 2.40733i | ||||||
\(885\) | 11.1179 | − | 1.83469i | 0.373726 | − | 0.0616726i | ||||
\(886\) | 28.8573 | 0.969479 | ||||||||
\(887\) | 47.6387 | + | 27.5042i | 1.59955 | + | 0.923501i | 0.991573 | + | 0.129547i | \(0.0413522\pi\) |
0.607977 | + | 0.793954i | \(0.291981\pi\) | |||||||
\(888\) | 12.2850 | + | 15.7780i | 0.412258 | + | 0.529474i | ||||
\(889\) | −29.0780 | + | 3.75577i | −0.975246 | + | 0.125964i | ||||
\(890\) | −22.0711 | + | 13.5069i | −0.739824 | + | 0.452754i | ||||
\(891\) | −21.5434 | + | 39.8768i | −0.721730 | + | 1.33592i | ||||
\(892\) | −31.2078 | + | 54.0535i | −1.04492 | + | 1.80985i | ||||
\(893\) | −6.01911 | − | 10.4254i | −0.201422 | − | 0.348873i | ||||
\(894\) | −23.8897 | + | 58.8479i | −0.798990 | + | 1.96817i | ||||
\(895\) | −0.746088 | + | 1.37216i | −0.0249390 | + | 0.0458661i | ||||
\(896\) | −6.34306 | − | 49.1095i | −0.211907 | − | 1.64063i | ||||
\(897\) | −2.31456 | − | 16.6694i | −0.0772808 | − | 0.556577i | ||||
\(898\) | − | 63.5343i | − | 2.12017i | ||||||
\(899\) | −1.39896 | + | 2.42307i | −0.0466580 | + | 0.0808140i | ||||
\(900\) | 46.5994 | − | 15.8103i | 1.55331 | − | 0.527011i | ||||
\(901\) | −60.8881 | + | 35.1538i | −2.02848 | + | 1.17114i | ||||
\(902\) | −5.89779 | − | 3.40509i | −0.196375 | − | 0.113377i | ||||
\(903\) | −25.4323 | − | 6.68880i | −0.846333 | − | 0.222589i | ||||
\(904\) | 14.2181 | + | 24.6264i | 0.472886 | + | 0.819063i | ||||
\(905\) | 39.8414 | − | 1.01932i | 1.32437 | − | 0.0338834i | ||||
\(906\) | 45.6681 | − | 35.5580i | 1.51722 | − | 1.18134i | ||||
\(907\) | −0.453563 | + | 0.261865i | −0.0150603 | + | 0.00869507i | −0.507511 | − | 0.861645i | \(-0.669434\pi\) |
0.492451 | + | 0.870340i | \(0.336101\pi\) | |||||||
\(908\) | 35.1700 | − | 20.3054i | 1.16716 | − | 0.673860i | ||||
\(909\) | 14.8193 | + | 14.4061i | 0.491526 | + | 0.477822i | ||||
\(910\) | 30.9350 | + | 38.4407i | 1.02549 | + | 1.27430i | ||||
\(911\) | −3.34141 | − | 1.92916i | −0.110706 | − | 0.0639160i | 0.443625 | − | 0.896213i | \(-0.353692\pi\) |
−0.554331 | + | 0.832297i | \(0.687026\pi\) | |||||||
\(912\) | −0.558456 | − | 0.717239i | −0.0184923 | − | 0.0237502i | ||||
\(913\) | −15.9390 | −0.527503 | ||||||||
\(914\) | 10.6606i | 0.352621i | ||||||||
\(915\) | −8.23057 | − | 49.8759i | −0.272094 | − | 1.64885i | ||||
\(916\) | 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 | \(0.915911\pi\) | |||||||
\(920\) | −15.4755 | − | 8.41456i | −0.510212 | − | 0.277420i | ||||
\(921\) | 1.51505 | + | 10.9114i | 0.0499227 | + | 0.359544i | ||||
\(922\) | 11.1480 | − | 19.3089i | 0.367139 | − | 0.635904i | ||||
\(923\) | −39.8717 | + | 23.0199i | −1.31239 | + | 0.757711i | ||||
\(924\) | −53.2862 | + | 53.7808i | −1.75299 | + | 1.76926i | ||||
\(925\) | 16.4648 | − | 10.6642i | 0.541358 | − | 0.350637i | ||||
\(926\) | 30.2677 | − | 17.4751i | 0.994659 | − | 0.574267i | ||||
\(927\) | 11.5855 | − | 45.8192i | 0.380519 | − | 1.50490i | ||||
\(928\) | −8.99996 | − | 5.19613i | −0.295438 | − | 0.170571i | ||||
\(929\) | 30.2451 | 0.992309 | 0.496154 | − | 0.868234i | \(-0.334745\pi\) | ||||
0.496154 | + | 0.868234i | \(0.334745\pi\) | |||||||
\(930\) | 2.11591 | + | 12.8221i | 0.0693836 | + | 0.420453i | ||||
\(931\) | 12.9890 | − | 12.8624i | 0.425698 | − | 0.421547i | ||||
\(932\) | −6.45967 | − | 11.1885i | −0.211593 | − | 0.366490i | ||||
\(933\) | −6.42309 | − | 46.2591i | −0.210283 | − | 1.51446i | ||||
\(934\) | −2.16723 | + | 1.25125i | −0.0709141 | + | 0.0409423i | ||||
\(935\) | −1.73131 | − | 67.6702i | −0.0566199 | − | 2.21305i | ||||
\(936\) | 22.9745 | + | 22.3340i | 0.750946 | + | 0.730008i | ||||
\(937\) | 34.6840 | 1.13308 | 0.566539 | − | 0.824035i | \(-0.308282\pi\) | ||||
0.566539 | + | 0.824035i | \(0.308282\pi\) | |||||||
\(938\) | 28.7096 | − | 3.70818i | 0.937402 | − | 0.121076i | ||||
\(939\) | −2.37638 | − | 17.1147i | −0.0775502 | − | 0.558516i | ||||
\(940\) | 33.8047 | − | 0.864878i | 1.10259 | − | 0.0282092i | ||||
\(941\) | −42.7800 | −1.39459 | −0.697295 | − | 0.716785i | \(-0.745613\pi\) | ||||
−0.697295 | + | 0.716785i | \(0.745613\pi\) | |||||||
\(942\) | −0.584148 | − | 4.20703i | −0.0190326 | − | 0.137073i | ||||
\(943\) | 1.57541 | 0.0513023 | ||||||||
\(944\) | 0.584718 | 0.0190310 | ||||||||
\(945\) | 16.5352 | + | 25.9150i | 0.537892 | + | 0.843014i | ||||
\(946\) | −66.4089 | −2.15914 | ||||||||
\(947\) | −8.08106 | −0.262599 | −0.131300 | − | 0.991343i | \(-0.541915\pi\) | ||||
−0.131300 | + | 0.991343i | \(0.541915\pi\) | |||||||
\(948\) | 0.119497 | + | 0.860619i | 0.00388109 | + | 0.0279516i | ||||
\(949\) | −20.9682 | −0.680656 | ||||||||
\(950\) | −25.1835 | + | 16.3114i | −0.817061 | + | 0.529210i | ||||
\(951\) | −6.79233 | − | 48.9184i | −0.220256 | − | 1.58629i | ||||
\(952\) | 18.0159 | − | 43.1948i | 0.583900 | − | 1.39995i | ||||
\(953\) | 44.3390 | 1.43628 | 0.718141 | − | 0.695897i | \(-0.244993\pi\) | ||||
0.718141 | + | 0.695897i | \(0.244993\pi\) | |||||||
\(954\) | 19.7655 | − | 78.1696i | 0.639930 | − | 2.53083i | ||||
\(955\) | −27.2221 | + | 0.696465i | −0.880888 | + | 0.0225371i | ||||
\(956\) | 8.40666 | − | 4.85359i | 0.271891 | − | 0.156976i | ||||
\(957\) | 2.29867 | + | 16.5550i | 0.0743055 | + | 0.535148i | ||||
\(958\) | −28.1381 | − | 48.7367i | −0.909102 | − | 1.57461i | ||||
\(959\) | −12.0378 | + | 9.19019i | −0.388721 | + | 0.296767i | ||||
\(960\) | −49.1607 | + | 8.11254i | −1.58665 | + | 0.261831i | ||||
\(961\) | 28.8679 | 0.931221 | ||||||||
\(962\) | 28.3381 | + | 16.3610i | 0.913659 | + | 0.527501i | ||||
\(963\) | −27.8179 | − | 27.0423i | −0.896419 | − | 0.871425i | ||||
\(964\) | −34.7149 | + | 20.0426i | −1.11809 | + | 0.645530i | ||||
\(965\) | 1.72793 | − | 0.0442083i | 0.0556241 | − | 0.00142312i | ||||
\(966\) | 7.17052 | − | 27.2639i | 0.230708 | − | 0.877201i | ||||
\(967\) | −10.7988 | + | 6.23472i | −0.347267 | + | 0.200495i | −0.663481 | − | 0.748193i | \(-0.730922\pi\) |
0.316214 | + | 0.948688i | \(0.397588\pi\) | |||||||
\(968\) | −21.1305 | + | 36.5991i | −0.679160 | + | 1.17634i | ||||
\(969\) | 3.73942 | + | 26.9313i | 0.120128 | + | 0.865159i | ||||
\(970\) | −37.8071 | − | 20.5570i | −1.21391 | − | 0.660046i | ||||
\(971\) | 0.187323 | + | 0.324453i | 0.00601148 | + | 0.0104122i | 0.869015 | − | 0.494785i | \(-0.164753\pi\) |
−0.863004 | + | 0.505197i | \(0.831420\pi\) | |||||||
\(972\) | 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 | ||||
\(975\) | 23.7811 | − | 20.5535i | 0.761606 | − | 0.658239i | ||||
\(976\) | − | 2.62309i | − | 0.0839630i | ||||||
\(977\) | 56.1534 | 1.79650 | 0.898252 | − | 0.439480i | \(-0.144837\pi\) | ||||
0.898252 | + | 0.439480i | \(0.144837\pi\) | |||||||
\(978\) | 7.11046 | + | 9.13214i | 0.227367 | + | 0.292014i | ||||
\(979\) | −21.9629 | − | 12.6803i | −0.701939 | − | 0.405265i | ||||
\(980\) | 14.3129 | + | 49.3138i | 0.457209 | + | 1.57527i | ||||
\(981\) | −12.3504 | + | 48.8441i | −0.394318 | + | 1.55947i | ||||
\(982\) | 23.0244 | − | 13.2931i | 0.734738 | − | 0.424201i | ||||
\(983\) | 10.5677 | − | 6.10125i | 0.337057 | − | 0.194600i | −0.321913 | − | 0.946769i | \(-0.604326\pi\) |
0.658970 | + | 0.752169i | \(0.270993\pi\) | |||||||
\(984\) | −2.36661 | + | 1.84269i | −0.0754448 | + | 0.0587428i | ||||
\(985\) | 0.0182472 | + | 0.713214i | 0.000581405 | + | 0.0227249i | ||||
\(986\) | −13.2345 | − | 22.9228i | −0.421471 | − | 0.730010i | ||||
\(987\) | 5.56174 | + | 20.3797i | 0.177032 | + | 0.648692i | ||||
\(988\) | −26.9278 | − | 15.5468i | −0.856687 | − | 0.494608i | ||||
\(989\) | 13.3043 | − | 7.68123i | 0.423052 | − | 0.244249i | ||||
\(990\) | 57.0295 | + | 52.6703i | 1.81252 | + | 1.67397i | ||||
\(991\) | −8.67105 | + | 15.0187i | −0.275445 | + | 0.477085i | −0.970247 | − | 0.242116i | \(-0.922158\pi\) |
0.694802 | + | 0.719201i | \(0.255492\pi\) | |||||||
\(992\) | − | 7.91932i | − | 0.251439i | ||||||
\(993\) | −5.97661 | − | 43.0436i | −0.189662 | − | 1.36595i | ||||
\(994\) | −76.4866 | + | 9.87913i | −2.42601 | + | 0.313347i | ||||
\(995\) | 9.23880 | − | 16.9914i | 0.292890 | − | 0.538663i | ||||
\(996\) | −6.76450 | + | 16.6631i | −0.214342 | + | 0.527992i | ||||
\(997\) | 6.03037 | + | 10.4449i | 0.190984 | + | 0.330793i | 0.945577 | − | 0.325400i | \(-0.105499\pi\) |
−0.754593 | + | 0.656193i | \(0.772166\pi\) | |||||||
\(998\) | −17.8676 | + | 30.9475i | −0.565588 | + | 0.979627i | ||||
\(999\) | 16.4330 | + | 12.0646i | 0.519917 | + | 0.381708i |
(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.bq.a.164.5 | yes | 88 | |
3.2 | odd | 2 | 945.2.bq.a.899.40 | 88 | |||
5.4 | even | 2 | inner | 315.2.bq.a.164.40 | yes | 88 | |
7.5 | odd | 6 | 315.2.u.a.299.40 | yes | 88 | ||
9.4 | even | 3 | 945.2.u.a.584.40 | 88 | |||
9.5 | odd | 6 | 315.2.u.a.59.5 | ✓ | 88 | ||
15.14 | odd | 2 | 945.2.bq.a.899.5 | 88 | |||
21.5 | even | 6 | 945.2.u.a.89.5 | 88 | |||
35.19 | odd | 6 | 315.2.u.a.299.5 | yes | 88 | ||
45.4 | even | 6 | 945.2.u.a.584.5 | 88 | |||
45.14 | odd | 6 | 315.2.u.a.59.40 | yes | 88 | ||
63.5 | even | 6 | inner | 315.2.bq.a.194.40 | yes | 88 | |
63.40 | odd | 6 | 945.2.bq.a.719.5 | 88 | |||
105.89 | even | 6 | 945.2.u.a.89.40 | 88 | |||
315.194 | even | 6 | inner | 315.2.bq.a.194.5 | yes | 88 | |
315.229 | odd | 6 | 945.2.bq.a.719.40 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.5 | ✓ | 88 | 9.5 | odd | 6 | ||
315.2.u.a.59.40 | yes | 88 | 45.14 | odd | 6 | ||
315.2.u.a.299.5 | yes | 88 | 35.19 | odd | 6 | ||
315.2.u.a.299.40 | yes | 88 | 7.5 | odd | 6 | ||
315.2.bq.a.164.5 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.bq.a.164.40 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.bq.a.194.5 | yes | 88 | 315.194 | even | 6 | inner | |
315.2.bq.a.194.40 | yes | 88 | 63.5 | even | 6 | inner | |
945.2.u.a.89.5 | 88 | 21.5 | even | 6 | |||
945.2.u.a.89.40 | 88 | 105.89 | even | 6 | |||
945.2.u.a.584.5 | 88 | 45.4 | even | 6 | |||
945.2.u.a.584.40 | 88 | 9.4 | even | 3 | |||
945.2.bq.a.719.5 | 88 | 63.40 | odd | 6 | |||
945.2.bq.a.719.40 | 88 | 315.229 | odd | 6 | |||
945.2.bq.a.899.5 | 88 | 15.14 | odd | 2 | |||
945.2.bq.a.899.40 | 88 | 3.2 | odd | 2 |