Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(29,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.m (of order \(10\), degree \(4\), 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 169.6 | ||
Character | \(\chi\) | \(=\) | 350.169 |
Dual form | 350.2.m.a.29.6 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | 1.41709 | + | 1.95046i | 0.818157 | + | 1.12610i | 0.990013 | + | 0.140975i | \(0.0450236\pi\) |
−0.171856 | + | 0.985122i | \(0.554976\pi\) | |||||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | −0.0248168 | + | 2.23593i | −0.0110984 | + | 0.999938i | ||||
\(6\) | 1.95046 | + | 1.41709i | 0.796271 | + | 0.578524i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −0.869087 | + | 2.67478i | −0.289696 | + | 0.891592i | ||||
\(10\) | 0.667338 | + | 2.13416i | 0.211031 | + | 0.674882i | ||||
\(11\) | −1.92661 | − | 5.92951i | −0.580896 | − | 1.78781i | −0.615162 | − | 0.788401i | \(-0.710909\pi\) |
0.0342662 | − | 0.999413i | \(-0.489091\pi\) | |||||||
\(12\) | 2.29290 | + | 0.745008i | 0.661903 | + | 0.215065i | ||||
\(13\) | −0.224686 | − | 0.0730048i | −0.0623166 | − | 0.0202479i | 0.277693 | − | 0.960670i | \(-0.410430\pi\) |
−0.340009 | + | 0.940422i | \(0.610430\pi\) | |||||||
\(14\) | 0.309017 | + | 0.951057i | 0.0825883 | + | 0.254181i | ||||
\(15\) | −4.39625 | + | 3.12011i | −1.13511 | + | 0.805609i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −2.50709 | + | 3.45072i | −0.608060 | + | 0.836922i | −0.996416 | − | 0.0845869i | \(-0.973043\pi\) |
0.388356 | + | 0.921509i | \(0.373043\pi\) | |||||||
\(18\) | 2.81243i | 0.662895i | ||||||||
\(19\) | −0.0269853 | − | 0.0196060i | −0.00619086 | − | 0.00449792i | 0.584686 | − | 0.811260i | \(-0.301218\pi\) |
−0.590876 | + | 0.806762i | \(0.701218\pi\) | |||||||
\(20\) | 1.29417 | + | 1.82349i | 0.289385 | + | 0.407745i | ||||
\(21\) | −1.95046 | + | 1.41709i | −0.425625 | + | 0.309234i | ||||
\(22\) | −3.66464 | − | 5.04394i | −0.781303 | − | 1.07537i | ||||
\(23\) | 6.11894 | − | 1.98816i | 1.27589 | − | 0.414561i | 0.408758 | − | 0.912643i | \(-0.365962\pi\) |
0.867130 | + | 0.498082i | \(0.165962\pi\) | |||||||
\(24\) | 2.41090 | 0.492122 | ||||||||
\(25\) | −4.99877 | − | 0.110977i | −0.999754 | − | 0.0221954i | ||||
\(26\) | −0.236248 | −0.0463321 | ||||||||
\(27\) | 0.430090 | − | 0.139745i | 0.0827709 | − | 0.0268939i | ||||
\(28\) | 0.587785 | + | 0.809017i | 0.111081 | + | 0.152890i | ||||
\(29\) | 6.08625 | − | 4.42192i | 1.13019 | − | 0.821129i | 0.144466 | − | 0.989510i | \(-0.453854\pi\) |
0.985722 | + | 0.168380i | \(0.0538537\pi\) | |||||||
\(30\) | −3.21692 | + | 4.32592i | −0.587326 | + | 0.789801i | ||||
\(31\) | −0.734656 | − | 0.533759i | −0.131948 | − | 0.0958660i | 0.519853 | − | 0.854255i | \(-0.325987\pi\) |
−0.651802 | + | 0.758389i | \(0.725987\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 8.83506 | − | 12.1604i | 1.53799 | − | 2.11686i | ||||
\(34\) | −1.31806 | + | 4.05656i | −0.226045 | + | 0.695695i | ||||
\(35\) | −2.23593 | − | 0.0248168i | −0.377941 | − | 0.00419480i | ||||
\(36\) | 0.869087 | + | 2.67478i | 0.144848 | + | 0.445796i | ||||
\(37\) | −5.22649 | − | 1.69819i | −0.859230 | − | 0.279181i | −0.153923 | − | 0.988083i | \(-0.549191\pi\) |
−0.705307 | + | 0.708902i | \(0.749191\pi\) | |||||||
\(38\) | −0.0317232 | − | 0.0103075i | −0.00514617 | − | 0.00167209i | ||||
\(39\) | −0.176007 | − | 0.541694i | −0.0281837 | − | 0.0867404i | ||||
\(40\) | 1.79432 | + | 1.33432i | 0.283707 | + | 0.210975i | ||||
\(41\) | 0.968847 | − | 2.98180i | 0.151308 | − | 0.465679i | −0.846460 | − | 0.532453i | \(-0.821270\pi\) |
0.997768 | + | 0.0667733i | \(0.0212704\pi\) | |||||||
\(42\) | −1.41709 | + | 1.95046i | −0.218662 | + | 0.300962i | ||||
\(43\) | 7.86299i | 1.19909i | 0.800339 | + | 0.599547i | \(0.204653\pi\) | ||||
−0.800339 | + | 0.599547i | \(0.795347\pi\) | |||||||
\(44\) | −5.04394 | − | 3.66464i | −0.760402 | − | 0.552465i | ||||
\(45\) | −5.95904 | − | 2.00960i | −0.888322 | − | 0.299573i | ||||
\(46\) | 5.20508 | − | 3.78171i | 0.767448 | − | 0.557583i | ||||
\(47\) | 2.84426 | + | 3.91479i | 0.414878 | + | 0.571031i | 0.964400 | − | 0.264448i | \(-0.0851899\pi\) |
−0.549521 | + | 0.835480i | \(0.685190\pi\) | |||||||
\(48\) | 2.29290 | − | 0.745008i | 0.330952 | − | 0.107533i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −4.78840 | + | 1.43916i | −0.677183 | + | 0.203528i | ||||
\(51\) | −10.2833 | −1.43994 | ||||||||
\(52\) | −0.224686 | + | 0.0730048i | −0.0311583 | + | 0.0101239i | ||||
\(53\) | −0.0640418 | − | 0.0881460i | −0.00879682 | − | 0.0121078i | 0.804596 | − | 0.593823i | \(-0.202382\pi\) |
−0.813393 | + | 0.581715i | \(0.802382\pi\) | |||||||
\(54\) | 0.365857 | − | 0.265810i | 0.0497868 | − | 0.0361722i | ||||
\(55\) | 13.3058 | − | 4.16062i | 1.79415 | − | 0.561018i | ||||
\(56\) | 0.809017 | + | 0.587785i | 0.108109 | + | 0.0785461i | ||||
\(57\) | − | 0.0804171i | − | 0.0106515i | ||||||
\(58\) | 4.42192 | − | 6.08625i | 0.580626 | − | 0.799163i | ||||
\(59\) | −1.10561 | + | 3.40271i | −0.143938 | + | 0.442995i | −0.996873 | − | 0.0790218i | \(-0.974820\pi\) |
0.852935 | + | 0.522017i | \(0.174820\pi\) | |||||||
\(60\) | −1.72269 | + | 5.10827i | −0.222398 | + | 0.659475i | ||||
\(61\) | −4.02947 | − | 12.4014i | −0.515921 | − | 1.58784i | −0.781601 | − | 0.623779i | \(-0.785596\pi\) |
0.265680 | − | 0.964061i | \(-0.414404\pi\) | |||||||
\(62\) | −0.863640 | − | 0.280614i | −0.109682 | − | 0.0356380i | ||||
\(63\) | −2.67478 | − | 0.869087i | −0.336990 | − | 0.109495i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 0.168810 | − | 0.500570i | 0.0209382 | − | 0.0620880i | ||||
\(66\) | 4.64487 | − | 14.2954i | 0.571744 | − | 1.75965i | ||||
\(67\) | 4.52933 | − | 6.23409i | 0.553346 | − | 0.761615i | −0.437116 | − | 0.899405i | \(-0.644000\pi\) |
0.990461 | + | 0.137790i | \(0.0439999\pi\) | |||||||
\(68\) | 4.26532i | 0.517246i | ||||||||
\(69\) | 12.5489 | + | 9.11732i | 1.51071 | + | 1.09760i | ||||
\(70\) | −2.13416 | + | 0.667338i | −0.255081 | + | 0.0797622i | ||||
\(71\) | −2.17221 | + | 1.57820i | −0.257794 | + | 0.187298i | −0.709174 | − | 0.705034i | \(-0.750932\pi\) |
0.451380 | + | 0.892332i | \(0.350932\pi\) | |||||||
\(72\) | 1.65310 | + | 2.27530i | 0.194820 | + | 0.268147i | ||||
\(73\) | −8.97565 | + | 2.91637i | −1.05052 | + | 0.341335i | −0.782873 | − | 0.622182i | \(-0.786246\pi\) |
−0.267648 | + | 0.963517i | \(0.586246\pi\) | |||||||
\(74\) | −5.49546 | −0.638834 | ||||||||
\(75\) | −6.86725 | − | 9.90715i | −0.792961 | − | 1.14398i | ||||
\(76\) | −0.0333557 | −0.00382616 | ||||||||
\(77\) | 5.92951 | − | 1.92661i | 0.675730 | − | 0.219558i | ||||
\(78\) | −0.334785 | − | 0.460792i | −0.0379070 | − | 0.0521744i | ||||
\(79\) | −10.2311 | + | 7.43331i | −1.15109 | + | 0.836313i | −0.988625 | − | 0.150402i | \(-0.951943\pi\) |
−0.162461 | + | 0.986715i | \(0.551943\pi\) | |||||||
\(80\) | 2.11883 | + | 0.714543i | 0.236892 | + | 0.0798883i | ||||
\(81\) | 7.70794 | + | 5.60015i | 0.856438 | + | 0.622239i | ||||
\(82\) | − | 3.13525i | − | 0.346231i | ||||||
\(83\) | −4.73070 | + | 6.51125i | −0.519262 | + | 0.714703i | −0.985447 | − | 0.169984i | \(-0.945628\pi\) |
0.466185 | + | 0.884687i | \(0.345628\pi\) | |||||||
\(84\) | −0.745008 | + | 2.29290i | −0.0812871 | + | 0.250176i | ||||
\(85\) | −7.65335 | − | 5.69132i | −0.830122 | − | 0.617311i | ||||
\(86\) | 2.42980 | + | 7.47815i | 0.262012 | + | 0.806390i | ||||
\(87\) | 17.2495 | + | 5.60471i | 1.84934 | + | 0.600888i | ||||
\(88\) | −5.92951 | − | 1.92661i | −0.632088 | − | 0.205378i | ||||
\(89\) | −0.548317 | − | 1.68755i | −0.0581215 | − | 0.178880i | 0.917781 | − | 0.397087i | \(-0.129979\pi\) |
−0.975902 | + | 0.218208i | \(0.929979\pi\) | |||||||
\(90\) | −6.28839 | − | 0.0697953i | −0.662854 | − | 0.00735707i | ||||
\(91\) | 0.0730048 | − | 0.224686i | 0.00765298 | − | 0.0235534i | ||||
\(92\) | 3.78171 | − | 5.20508i | 0.394271 | − | 0.542667i | ||||
\(93\) | − | 2.18930i | − | 0.227020i | ||||||
\(94\) | 3.91479 | + | 2.84426i | 0.403780 | + | 0.293363i | ||||
\(95\) | 0.0445073 | − | 0.0598507i | 0.00456635 | − | 0.00614056i | ||||
\(96\) | 1.95046 | − | 1.41709i | 0.199068 | − | 0.144631i | ||||
\(97\) | −10.4652 | − | 14.4042i | −1.06258 | − | 1.46252i | −0.877364 | − | 0.479826i | \(-0.840700\pi\) |
−0.185221 | − | 0.982697i | \(-0.559300\pi\) | |||||||
\(98\) | −0.951057 | + | 0.309017i | −0.0960712 | + | 0.0312154i | ||||
\(99\) | 17.5345 | 1.76228 | ||||||||
\(100\) | −4.10932 | + | 2.84842i | −0.410932 | + | 0.284842i | ||||
\(101\) | −10.8232 | −1.07695 | −0.538473 | − | 0.842643i | \(-0.680999\pi\) | ||||
−0.538473 | + | 0.842643i | \(0.680999\pi\) | |||||||
\(102\) | −9.77996 | + | 3.17770i | −0.968360 | + | 0.314639i | ||||
\(103\) | −4.57353 | − | 6.29493i | −0.450644 | − | 0.620258i | 0.521892 | − | 0.853012i | \(-0.325226\pi\) |
−0.972536 | + | 0.232754i | \(0.925226\pi\) | |||||||
\(104\) | −0.191129 | + | 0.138863i | −0.0187417 | + | 0.0136167i | ||||
\(105\) | −3.12011 | − | 4.39625i | −0.304492 | − | 0.429030i | ||||
\(106\) | −0.0881460 | − | 0.0640418i | −0.00856149 | − | 0.00622029i | ||||
\(107\) | 2.75710i | 0.266539i | 0.991080 | + | 0.133269i | \(0.0425476\pi\) | ||||
−0.991080 | + | 0.133269i | \(0.957452\pi\) | |||||||
\(108\) | 0.265810 | − | 0.365857i | 0.0255776 | − | 0.0352046i | ||||
\(109\) | −3.84856 | + | 11.8447i | −0.368626 | + | 1.13451i | 0.579054 | + | 0.815289i | \(0.303422\pi\) |
−0.947679 | + | 0.319224i | \(0.896578\pi\) | |||||||
\(110\) | 11.3688 | − | 8.06870i | 1.08398 | − | 0.769320i | ||||
\(111\) | −4.09416 | − | 12.6005i | −0.388601 | − | 1.19599i | ||||
\(112\) | 0.951057 | + | 0.309017i | 0.0898664 | + | 0.0291994i | ||||
\(113\) | 3.01338 | + | 0.979106i | 0.283475 | + | 0.0921065i | 0.447303 | − | 0.894382i | \(-0.352384\pi\) |
−0.163829 | + | 0.986489i | \(0.552384\pi\) | |||||||
\(114\) | −0.0248503 | − | 0.0764813i | −0.00232744 | − | 0.00716313i | ||||
\(115\) | 4.29355 | + | 13.7309i | 0.400375 | + | 1.28041i | ||||
\(116\) | 2.32474 | − | 7.15481i | 0.215847 | − | 0.664308i | ||||
\(117\) | 0.390543 | − | 0.537536i | 0.0361057 | − | 0.0496952i | ||||
\(118\) | 3.57782i | 0.329365i | ||||||||
\(119\) | −3.45072 | − | 2.50709i | −0.316327 | − | 0.229825i | ||||
\(120\) | −0.0598307 | + | 5.39060i | −0.00546177 | + | 0.492092i | ||||
\(121\) | −22.5480 | + | 16.3821i | −2.04982 | + | 1.48928i | ||||
\(122\) | −7.66451 | − | 10.5493i | −0.693912 | − | 0.955088i | ||||
\(123\) | 7.18882 | − | 2.33579i | 0.648194 | − | 0.210611i | ||||
\(124\) | −0.908085 | −0.0815485 | ||||||||
\(125\) | 0.372190 | − | 11.1741i | 0.0332897 | − | 0.999446i | ||||
\(126\) | −2.81243 | −0.250551 | ||||||||
\(127\) | 18.5652 | − | 6.03219i | 1.64739 | − | 0.535271i | 0.669221 | − | 0.743064i | \(-0.266628\pi\) |
0.978173 | + | 0.207793i | \(0.0666281\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | −15.3364 | + | 11.1426i | −1.35030 | + | 0.981048i | ||||
\(130\) | 0.00586292 | − | 0.528235i | 0.000514212 | − | 0.0463293i | ||||
\(131\) | 7.62322 | + | 5.53859i | 0.666044 | + | 0.483909i | 0.868698 | − | 0.495341i | \(-0.164957\pi\) |
−0.202655 | + | 0.979250i | \(0.564957\pi\) | |||||||
\(132\) | − | 15.0311i | − | 1.30829i | ||||||
\(133\) | 0.0196060 | − | 0.0269853i | 0.00170005 | − | 0.00233992i | ||||
\(134\) | 2.38121 | − | 7.32861i | 0.205705 | − | 0.633096i | ||||
\(135\) | 0.301786 | + | 0.965120i | 0.0259736 | + | 0.0830643i | ||||
\(136\) | 1.31806 | + | 4.05656i | 0.113022 | + | 0.347847i | ||||
\(137\) | −11.8711 | − | 3.85714i | −1.01421 | − | 0.329538i | −0.245682 | − | 0.969351i | \(-0.579012\pi\) |
−0.768531 | + | 0.639813i | \(0.779012\pi\) | |||||||
\(138\) | 14.7521 | + | 4.79326i | 1.25579 | + | 0.408029i | ||||
\(139\) | 7.10395 | + | 21.8637i | 0.602549 | + | 1.85446i | 0.512834 | + | 0.858488i | \(0.328596\pi\) |
0.0897156 | + | 0.995967i | \(0.471404\pi\) | |||||||
\(140\) | −1.82349 | + | 1.29417i | −0.154113 | + | 0.109377i | ||||
\(141\) | −3.60506 | + | 11.0952i | −0.303601 | + | 0.934387i | ||||
\(142\) | −1.57820 | + | 2.17221i | −0.132440 | + | 0.182288i | ||||
\(143\) | 1.47293i | 0.123172i | ||||||||
\(144\) | 2.27530 | + | 1.65310i | 0.189608 | + | 0.137759i | ||||
\(145\) | 9.73606 | + | 13.7182i | 0.808536 | + | 1.13923i | ||||
\(146\) | −7.63514 | + | 5.54726i | −0.631889 | + | 0.459094i | ||||
\(147\) | −1.41709 | − | 1.95046i | −0.116880 | − | 0.160871i | ||||
\(148\) | −5.22649 | + | 1.69819i | −0.429615 | + | 0.139590i | ||||
\(149\) | 20.2290 | 1.65723 | 0.828613 | − | 0.559821i | \(-0.189130\pi\) | ||||
0.828613 | + | 0.559821i | \(0.189130\pi\) | |||||||
\(150\) | −9.59262 | − | 7.30016i | −0.783234 | − | 0.596056i | ||||
\(151\) | −22.1107 | −1.79934 | −0.899672 | − | 0.436567i | \(-0.856194\pi\) | ||||
−0.899672 | + | 0.436567i | \(0.856194\pi\) | |||||||
\(152\) | −0.0317232 | + | 0.0103075i | −0.00257309 | + | 0.000836047i | ||||
\(153\) | −7.05102 | − | 9.70489i | −0.570041 | − | 0.784594i | ||||
\(154\) | 5.04394 | − | 3.66464i | 0.406452 | − | 0.295305i | ||||
\(155\) | 1.21168 | − | 1.62939i | 0.0973245 | − | 0.130876i | ||||
\(156\) | −0.460792 | − | 0.334785i | −0.0368929 | − | 0.0268043i | ||||
\(157\) | − | 3.01602i | − | 0.240705i | −0.992731 | − | 0.120352i | \(-0.961598\pi\) | ||
0.992731 | − | 0.120352i | \(-0.0384025\pi\) | |||||||
\(158\) | −7.43331 | + | 10.2311i | −0.591363 | + | 0.813941i | ||||
\(159\) | 0.0811719 | − | 0.249822i | 0.00643735 | − | 0.0198121i | ||||
\(160\) | 2.23593 | + | 0.0248168i | 0.176766 | + | 0.00196194i | ||||
\(161\) | 1.98816 | + | 6.11894i | 0.156689 | + | 0.482240i | ||||
\(162\) | 9.06123 | + | 2.94417i | 0.711917 | + | 0.231316i | ||||
\(163\) | 7.08243 | + | 2.30122i | 0.554739 | + | 0.180246i | 0.572952 | − | 0.819589i | \(-0.305798\pi\) |
−0.0182138 | + | 0.999834i | \(0.505798\pi\) | |||||||
\(164\) | −0.968847 | − | 2.98180i | −0.0756542 | − | 0.232840i | ||||
\(165\) | 26.9706 | + | 20.0564i | 2.09966 | + | 1.56139i | ||||
\(166\) | −2.48708 | + | 7.65444i | −0.193035 | + | 0.594100i | ||||
\(167\) | 13.5060 | − | 18.5895i | 1.04513 | − | 1.43850i | 0.152172 | − | 0.988354i | \(-0.451373\pi\) |
0.892957 | − | 0.450143i | \(-0.148627\pi\) | |||||||
\(168\) | 2.41090i | 0.186005i | ||||||||
\(169\) | −10.4721 | − | 7.60840i | −0.805544 | − | 0.585262i | ||||
\(170\) | −9.03748 | − | 3.04776i | −0.693143 | − | 0.233752i | ||||
\(171\) | 0.0758942 | − | 0.0551404i | 0.00580377 | − | 0.00421669i | ||||
\(172\) | 4.62175 | + | 6.36129i | 0.352405 | + | 0.485044i | ||||
\(173\) | 9.12783 | − | 2.96581i | 0.693976 | − | 0.225486i | 0.0592720 | − | 0.998242i | \(-0.481122\pi\) |
0.634704 | + | 0.772755i | \(0.281122\pi\) | |||||||
\(174\) | 18.1372 | 1.37498 | ||||||||
\(175\) | 0.110977 | − | 4.99877i | 0.00838908 | − | 0.377871i | ||||
\(176\) | −6.23465 | −0.469955 | ||||||||
\(177\) | −8.20359 | + | 2.66551i | −0.616620 | + | 0.200352i | ||||
\(178\) | −1.04296 | − | 1.43551i | −0.0781732 | − | 0.107596i | ||||
\(179\) | −1.03590 | + | 0.752627i | −0.0774270 | + | 0.0562540i | −0.625825 | − | 0.779963i | \(-0.715238\pi\) |
0.548398 | + | 0.836217i | \(0.315238\pi\) | |||||||
\(180\) | −6.00218 | + | 1.87684i | −0.447376 | + | 0.139891i | ||||
\(181\) | 4.75644 | + | 3.45575i | 0.353543 | + | 0.256864i | 0.750354 | − | 0.661036i | \(-0.229883\pi\) |
−0.396811 | + | 0.917900i | \(0.629883\pi\) | |||||||
\(182\) | − | 0.236248i | − | 0.0175119i | ||||||
\(183\) | 18.4783 | − | 25.4332i | 1.36596 | − | 1.88008i | ||||
\(184\) | 1.98816 | − | 6.11894i | 0.146569 | − | 0.451094i | ||||
\(185\) | 3.92674 | − | 11.6439i | 0.288700 | − | 0.856079i | ||||
\(186\) | −0.676531 | − | 2.08215i | −0.0496056 | − | 0.152670i | ||||
\(187\) | 25.2913 | + | 8.21763i | 1.84948 | + | 0.600933i | ||||
\(188\) | 4.60211 | + | 1.49532i | 0.335644 | + | 0.109057i | ||||
\(189\) | 0.139745 | + | 0.430090i | 0.0101649 | + | 0.0312845i | ||||
\(190\) | 0.0238341 | − | 0.0706750i | 0.00172910 | − | 0.00512730i | ||||
\(191\) | 4.45759 | − | 13.7190i | 0.322540 | − | 0.992675i | −0.649999 | − | 0.759935i | \(-0.725231\pi\) |
0.972539 | − | 0.232740i | \(-0.0747691\pi\) | |||||||
\(192\) | 1.41709 | − | 1.95046i | 0.102270 | − | 0.140762i | ||||
\(193\) | 15.8235i | 1.13900i | 0.821992 | + | 0.569499i | \(0.192863\pi\) | ||||
−0.821992 | + | 0.569499i | \(0.807137\pi\) | |||||||
\(194\) | −14.4042 | − | 10.4652i | −1.03416 | − | 0.751361i | ||||
\(195\) | 1.21556 | − | 0.380096i | 0.0870479 | − | 0.0272193i | ||||
\(196\) | −0.809017 | + | 0.587785i | −0.0577869 | + | 0.0419847i | ||||
\(197\) | 15.4962 | + | 21.3286i | 1.10406 | + | 1.51960i | 0.829896 | + | 0.557918i | \(0.188399\pi\) |
0.274159 | + | 0.961684i | \(0.411601\pi\) | |||||||
\(198\) | 16.6763 | − | 5.41846i | 1.18513 | − | 0.385073i | ||||
\(199\) | 8.77507 | 0.622048 | 0.311024 | − | 0.950402i | \(-0.399328\pi\) | ||||
0.311024 | + | 0.950402i | \(0.399328\pi\) | |||||||
\(200\) | −3.02798 | + | 3.97886i | −0.214111 | + | 0.281348i | ||||
\(201\) | 18.5778 | 1.31038 | ||||||||
\(202\) | −10.2935 | + | 3.34455i | −0.724245 | + | 0.235321i | ||||
\(203\) | 4.42192 | + | 6.08625i | 0.310358 | + | 0.427171i | ||||
\(204\) | −8.31933 | + | 6.04435i | −0.582470 | + | 0.423189i | ||||
\(205\) | 6.64306 | + | 2.24027i | 0.463971 | + | 0.156467i | ||||
\(206\) | −6.29493 | − | 4.57353i | −0.438589 | − | 0.318653i | ||||
\(207\) | 18.0947i | 1.25767i | ||||||||
\(208\) | −0.138863 | + | 0.191129i | −0.00962844 | + | 0.0132524i | ||||
\(209\) | −0.0642635 | + | 0.197783i | −0.00444520 | + | 0.0136809i | ||||
\(210\) | −4.32592 | − | 3.21692i | −0.298517 | − | 0.221988i | ||||
\(211\) | 1.29244 | + | 3.97774i | 0.0889756 | + | 0.273839i | 0.985637 | − | 0.168879i | \(-0.0540146\pi\) |
−0.896661 | + | 0.442717i | \(0.854015\pi\) | |||||||
\(212\) | −0.103622 | − | 0.0336688i | −0.00711677 | − | 0.00231238i | ||||
\(213\) | −6.15643 | − | 2.00034i | −0.421832 | − | 0.137061i | ||||
\(214\) | 0.851991 | + | 2.62216i | 0.0582409 | + | 0.179247i | ||||
\(215\) | −17.5811 | − | 0.195134i | −1.19902 | − | 0.0133080i | ||||
\(216\) | 0.139745 | − | 0.430090i | 0.00950843 | − | 0.0292639i | ||||
\(217\) | 0.533759 | − | 0.734656i | 0.0362339 | − | 0.0498717i | ||||
\(218\) | 12.4542i | 0.843506i | ||||||||
\(219\) | −18.4075 | − | 13.3739i | −1.24387 | − | 0.903722i | ||||
\(220\) | 8.31905 | − | 11.1870i | 0.560870 | − | 0.754224i | ||||
\(221\) | 0.815227 | − | 0.592297i | 0.0548381 | − | 0.0398422i | ||||
\(222\) | −7.78756 | − | 10.7187i | −0.522667 | − | 0.719389i | ||||
\(223\) | −17.6163 | + | 5.72387i | −1.17967 | + | 0.383299i | −0.832245 | − | 0.554408i | \(-0.812945\pi\) |
−0.347428 | + | 0.937707i | \(0.612945\pi\) | |||||||
\(224\) | 1.00000 | 0.0668153 | ||||||||
\(225\) | 4.64120 | − | 13.2741i | 0.309414 | − | 0.884942i | ||||
\(226\) | 3.16845 | 0.210762 | ||||||||
\(227\) | −8.14106 | + | 2.64519i | −0.540341 | + | 0.175568i | −0.566457 | − | 0.824091i | \(-0.691686\pi\) |
0.0261155 | + | 0.999659i | \(0.491686\pi\) | |||||||
\(228\) | −0.0472680 | − | 0.0650588i | −0.00313040 | − | 0.00430863i | ||||
\(229\) | −11.2102 | + | 8.14468i | −0.740790 | + | 0.538216i | −0.892959 | − | 0.450139i | \(-0.851374\pi\) |
0.152168 | + | 0.988355i | \(0.451374\pi\) | |||||||
\(230\) | 8.32648 | + | 11.7321i | 0.549032 | + | 0.773589i | ||||
\(231\) | 12.1604 | + | 8.83506i | 0.800097 | + | 0.581304i | ||||
\(232\) | − | 7.52301i | − | 0.493910i | ||||||
\(233\) | −0.449743 | + | 0.619018i | −0.0294636 | + | 0.0405532i | −0.823495 | − | 0.567324i | \(-0.807979\pi\) |
0.794031 | + | 0.607877i | \(0.207979\pi\) | |||||||
\(234\) | 0.205320 | − | 0.631911i | 0.0134222 | − | 0.0413093i | ||||
\(235\) | −8.82379 | + | 6.26242i | −0.575601 | + | 0.408515i | ||||
\(236\) | 1.10561 | + | 3.40271i | 0.0719690 | + | 0.221498i | ||||
\(237\) | −28.9967 | − | 9.42160i | −1.88354 | − | 0.611999i | ||||
\(238\) | −4.05656 | − | 1.31806i | −0.262948 | − | 0.0854370i | ||||
\(239\) | 1.99491 | + | 6.13970i | 0.129040 | + | 0.397144i | 0.994615 | − | 0.103634i | \(-0.0330471\pi\) |
−0.865575 | + | 0.500779i | \(0.833047\pi\) | |||||||
\(240\) | 1.60888 | + | 5.14525i | 0.103853 | + | 0.332125i | ||||
\(241\) | −6.53076 | + | 20.0996i | −0.420683 | + | 1.29473i | 0.486384 | + | 0.873745i | \(0.338316\pi\) |
−0.907068 | + | 0.420985i | \(0.861684\pi\) | |||||||
\(242\) | −16.3821 | + | 22.5480i | −1.05308 | + | 1.44944i | ||||
\(243\) | 21.6132i | 1.38649i | ||||||||
\(244\) | −10.5493 | − | 7.66451i | −0.675349 | − | 0.490670i | ||||
\(245\) | 0.0248168 | − | 2.23593i | 0.00158548 | − | 0.142848i | ||||
\(246\) | 6.11518 | − | 4.44294i | 0.389889 | − | 0.283271i | ||||
\(247\) | 0.00463188 | + | 0.00637524i | 0.000294720 | + | 0.000405647i | ||||
\(248\) | −0.863640 | + | 0.280614i | −0.0548412 | + | 0.0178190i | ||||
\(249\) | −19.4038 | −1.22966 | ||||||||
\(250\) | −3.09903 | − | 10.7423i | −0.196000 | − | 0.679400i | ||||
\(251\) | 27.1626 | 1.71449 | 0.857246 | − | 0.514908i | \(-0.172174\pi\) | ||||
0.857246 | + | 0.514908i | \(0.172174\pi\) | |||||||
\(252\) | −2.67478 | + | 0.869087i | −0.168495 | + | 0.0547473i | ||||
\(253\) | −23.5777 | − | 32.4519i | −1.48232 | − | 2.04023i | ||||
\(254\) | 15.7925 | − | 11.4739i | 0.990909 | − | 0.719937i | ||||
\(255\) | 0.255197 | − | 22.9926i | 0.0159811 | − | 1.43986i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 12.5213i | 0.781059i | 0.920590 | + | 0.390529i | \(0.127708\pi\) | ||||
−0.920590 | + | 0.390529i | \(0.872292\pi\) | |||||||
\(258\) | −11.1426 | + | 15.3364i | −0.693706 | + | 0.954804i | ||||
\(259\) | 1.69819 | − | 5.22649i | 0.105520 | − | 0.324759i | ||||
\(260\) | −0.157658 | − | 0.504193i | −0.00977751 | − | 0.0312687i | ||||
\(261\) | 6.53816 | + | 20.1224i | 0.404702 | + | 1.24554i | ||||
\(262\) | 8.96163 | + | 2.91181i | 0.553651 | + | 0.179892i | ||||
\(263\) | 8.24918 | + | 2.68032i | 0.508666 | + | 0.165276i | 0.552096 | − | 0.833781i | \(-0.313828\pi\) |
−0.0434293 | + | 0.999057i | \(0.513828\pi\) | |||||||
\(264\) | −4.64487 | − | 14.2954i | −0.285872 | − | 0.879823i | ||||
\(265\) | 0.198678 | − | 0.141005i | 0.0122047 | − | 0.00866190i | ||||
\(266\) | 0.0103075 | − | 0.0317232i | 0.000631992 | − | 0.00194507i | ||||
\(267\) | 2.51447 | − | 3.46087i | 0.153883 | − | 0.211802i | ||||
\(268\) | − | 7.70576i | − | 0.470704i | ||||||
\(269\) | −12.1090 | − | 8.79771i | −0.738299 | − | 0.536406i | 0.153879 | − | 0.988090i | \(-0.450824\pi\) |
−0.892178 | + | 0.451684i | \(0.850824\pi\) | |||||||
\(270\) | 0.585254 | + | 0.824626i | 0.0356174 | + | 0.0501852i | ||||
\(271\) | 13.3398 | − | 9.69193i | 0.810335 | − | 0.588743i | −0.103593 | − | 0.994620i | \(-0.533034\pi\) |
0.913928 | + | 0.405877i | \(0.133034\pi\) | |||||||
\(272\) | 2.50709 | + | 3.45072i | 0.152015 | + | 0.209231i | ||||
\(273\) | 0.541694 | − | 0.176007i | 0.0327848 | − | 0.0106524i | ||||
\(274\) | −12.4820 | −0.754063 | ||||||||
\(275\) | 8.97265 | + | 29.8540i | 0.541071 | + | 1.80027i | ||||
\(276\) | 15.5113 | 0.933672 | ||||||||
\(277\) | 2.97432 | − | 0.966415i | 0.178710 | − | 0.0580663i | −0.218295 | − | 0.975883i | \(-0.570050\pi\) |
0.397005 | + | 0.917816i | \(0.370050\pi\) | |||||||
\(278\) | 13.5125 | + | 18.5984i | 0.810427 | + | 1.11546i | ||||
\(279\) | 2.06617 | − | 1.50116i | 0.123698 | − | 0.0898719i | ||||
\(280\) | −1.33432 | + | 1.79432i | −0.0797411 | + | 0.107231i | ||||
\(281\) | −20.9497 | − | 15.2208i | −1.24975 | − | 0.907999i | −0.251545 | − | 0.967845i | \(-0.580939\pi\) |
−0.998208 | + | 0.0598467i | \(0.980939\pi\) | |||||||
\(282\) | 11.6662i | 0.694713i | ||||||||
\(283\) | −14.9359 | + | 20.5575i | −0.887847 | + | 1.22202i | 0.0863375 | + | 0.996266i | \(0.472484\pi\) |
−0.974185 | + | 0.225751i | \(0.927516\pi\) | |||||||
\(284\) | −0.829710 | + | 2.55358i | −0.0492342 | + | 0.151527i | ||||
\(285\) | 0.179807 | + | 0.00199569i | 0.0106509 | + | 0.000118215i | ||||
\(286\) | 0.455159 | + | 1.40084i | 0.0269141 | + | 0.0828332i | ||||
\(287\) | 2.98180 | + | 0.968847i | 0.176010 | + | 0.0571892i | ||||
\(288\) | 2.67478 | + | 0.869087i | 0.157613 | + | 0.0512115i | ||||
\(289\) | −0.368653 | − | 1.13460i | −0.0216855 | − | 0.0667410i | ||||
\(290\) | 13.4987 | + | 10.0381i | 0.792670 | + | 0.589460i | ||||
\(291\) | 13.2645 | − | 40.8240i | 0.777580 | − | 2.39315i | ||||
\(292\) | −5.54726 | + | 7.63514i | −0.324629 | + | 0.446813i | ||||
\(293\) | 13.5422i | 0.791142i | 0.918435 | + | 0.395571i | \(0.129453\pi\) | ||||
−0.918435 | + | 0.395571i | \(0.870547\pi\) | |||||||
\(294\) | −1.95046 | − | 1.41709i | −0.113753 | − | 0.0826464i | ||||
\(295\) | −7.58079 | − | 2.55651i | −0.441371 | − | 0.148846i | ||||
\(296\) | −4.44592 | + | 3.23015i | −0.258414 | + | 0.187749i | ||||
\(297\) | −1.65724 | − | 2.28099i | −0.0961626 | − | 0.132356i | ||||
\(298\) | 19.2390 | − | 6.25111i | 1.11448 | − | 0.362117i | ||||
\(299\) | −1.51998 | −0.0879029 | ||||||||
\(300\) | −11.3790 | − | 3.97858i | −0.656967 | − | 0.229704i | ||||
\(301\) | −7.86299 | −0.453215 | ||||||||
\(302\) | −21.0285 | + | 6.83258i | −1.21006 | + | 0.393171i | ||||
\(303\) | −15.3374 | − | 21.1101i | −0.881111 | − | 1.21275i | ||||
\(304\) | −0.0269853 | + | 0.0196060i | −0.00154771 | + | 0.00112448i | ||||
\(305\) | 27.8287 | − | 8.70185i | 1.59347 | − | 0.498266i | ||||
\(306\) | −9.70489 | − | 7.05102i | −0.554792 | − | 0.403080i | ||||
\(307\) | 3.32881i | 0.189985i | 0.995478 | + | 0.0949925i | \(0.0302827\pi\) | ||||
−0.995478 | + | 0.0949925i | \(0.969717\pi\) | |||||||
\(308\) | 3.66464 | − | 5.04394i | 0.208812 | − | 0.287405i | ||||
\(309\) | 5.79688 | − | 17.8410i | 0.329773 | − | 1.01494i | ||||
\(310\) | 0.648865 | − | 1.92408i | 0.0368531 | − | 0.109280i | ||||
\(311\) | −0.608175 | − | 1.87177i | −0.0344864 | − | 0.106138i | 0.932332 | − | 0.361605i | \(-0.117771\pi\) |
−0.966818 | + | 0.255466i | \(0.917771\pi\) | |||||||
\(312\) | −0.541694 | − | 0.176007i | −0.0306674 | − | 0.00996443i | ||||
\(313\) | −2.25738 | − | 0.733468i | −0.127595 | − | 0.0414580i | 0.244524 | − | 0.969643i | \(-0.421368\pi\) |
−0.372118 | + | 0.928185i | \(0.621368\pi\) | |||||||
\(314\) | −0.932002 | − | 2.86841i | −0.0525959 | − | 0.161874i | ||||
\(315\) | 2.00960 | − | 5.95904i | 0.113228 | − | 0.335754i | ||||
\(316\) | −3.90792 | + | 12.0274i | −0.219838 | + | 0.676591i | ||||
\(317\) | 15.8339 | − | 21.7935i | 0.889321 | − | 1.22405i | −0.0844300 | − | 0.996429i | \(-0.526907\pi\) |
0.973751 | − | 0.227616i | \(-0.0730931\pi\) | |||||||
\(318\) | − | 0.262678i | − | 0.0147302i | ||||||
\(319\) | −37.9456 | − | 27.5691i | −2.12455 | − | 1.54357i | ||||
\(320\) | 2.13416 | − | 0.667338i | 0.119303 | − | 0.0373053i | ||||
\(321\) | −5.37761 | + | 3.90706i | −0.300149 | + | 0.218071i | ||||
\(322\) | 3.78171 | + | 5.20508i | 0.210747 | + | 0.290068i | ||||
\(323\) | 0.135310 | − | 0.0439647i | 0.00752882 | − | 0.00244626i | ||||
\(324\) | 9.52754 | 0.529308 | ||||||||
\(325\) | 1.11505 | + | 0.389869i | 0.0618518 | + | 0.0216260i | ||||
\(326\) | 7.44691 | 0.412446 | ||||||||
\(327\) | −28.5563 | + | 9.27849i | −1.57917 | + | 0.513102i | ||||
\(328\) | −1.84286 | − | 2.53647i | −0.101755 | − | 0.140053i | ||||
\(329\) | −3.91479 | + | 2.84426i | −0.215830 | + | 0.156809i | ||||
\(330\) | 31.8483 | + | 10.7404i | 1.75319 | + | 0.591238i | ||||
\(331\) | 14.7357 | + | 10.7061i | 0.809946 | + | 0.588460i | 0.913815 | − | 0.406131i | \(-0.133122\pi\) |
−0.103869 | + | 0.994591i | \(0.533122\pi\) | |||||||
\(332\) | 8.04835i | 0.441711i | ||||||||
\(333\) | 9.08456 | − | 12.5038i | 0.497831 | − | 0.685205i | ||||
\(334\) | 7.10055 | − | 21.8532i | 0.388525 | − | 1.19576i | ||||
\(335\) | 13.8266 | + | 10.2820i | 0.755427 | + | 0.561765i | ||||
\(336\) | 0.745008 | + | 2.29290i | 0.0406435 | + | 0.125088i | ||||
\(337\) | −6.58505 | − | 2.13961i | −0.358710 | − | 0.116552i | 0.124117 | − | 0.992268i | \(-0.460390\pi\) |
−0.482827 | + | 0.875716i | \(0.660390\pi\) | |||||||
\(338\) | −12.3107 | − | 3.99997i | −0.669611 | − | 0.217570i | ||||
\(339\) | 2.36052 | + | 7.26495i | 0.128206 | + | 0.394578i | ||||
\(340\) | −9.53697 | − | 0.105852i | −0.517215 | − | 0.00574060i | ||||
\(341\) | −1.74953 | + | 5.38450i | −0.0947423 | + | 0.291587i | ||||
\(342\) | 0.0551404 | − | 0.0758942i | 0.00298165 | − | 0.00410389i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 6.36129 | + | 4.62175i | 0.342978 | + | 0.249188i | ||||
\(345\) | −20.6971 | + | 27.8322i | −1.11430 | + | 1.49844i | ||||
\(346\) | 7.76459 | − | 5.64131i | 0.417427 | − | 0.303279i | ||||
\(347\) | −13.0993 | − | 18.0297i | −0.703208 | − | 0.967883i | −0.999917 | − | 0.0129148i | \(-0.995889\pi\) |
0.296709 | − | 0.954968i | \(-0.404111\pi\) | |||||||
\(348\) | 17.2495 | − | 5.60471i | 0.924671 | − | 0.300444i | ||||
\(349\) | 7.36508 | 0.394243 | 0.197122 | − | 0.980379i | \(-0.436841\pi\) | ||||
0.197122 | + | 0.980379i | \(0.436841\pi\) | |||||||
\(350\) | −1.43916 | − | 4.78840i | −0.0769263 | − | 0.255951i | ||||
\(351\) | −0.106837 | −0.00570254 | ||||||||
\(352\) | −5.92951 | + | 1.92661i | −0.316044 | + | 0.102689i | ||||
\(353\) | −0.108658 | − | 0.149555i | −0.00578329 | − | 0.00796001i | 0.806116 | − | 0.591758i | \(-0.201566\pi\) |
−0.811899 | + | 0.583798i | \(0.801566\pi\) | |||||||
\(354\) | −6.97839 | + | 5.07010i | −0.370897 | + | 0.269473i | ||||
\(355\) | −3.47484 | − | 4.89607i | −0.184425 | − | 0.259857i | ||||
\(356\) | −1.43551 | − | 1.04296i | −0.0760820 | − | 0.0552768i | ||||
\(357\) | − | 10.2833i | − | 0.544248i | ||||||
\(358\) | −0.752627 | + | 1.03590i | −0.0397776 | + | 0.0547492i | ||||
\(359\) | 6.47555 | − | 19.9297i | 0.341767 | − | 1.05185i | −0.621525 | − | 0.783394i | \(-0.713487\pi\) |
0.963292 | − | 0.268456i | \(-0.0865132\pi\) | |||||||
\(360\) | −5.12844 | + | 3.63976i | −0.270292 | + | 0.191832i | ||||
\(361\) | −5.87098 | − | 18.0690i | −0.308999 | − | 0.951001i | ||||
\(362\) | 5.59153 | + | 1.81680i | 0.293884 | + | 0.0954888i | ||||
\(363\) | −63.9051 | − | 20.7640i | −3.35415 | − | 1.08983i | ||||
\(364\) | −0.0730048 | − | 0.224686i | −0.00382649 | − | 0.0117767i | ||||
\(365\) | −6.29804 | − | 20.1413i | −0.329655 | − | 1.05424i | ||||
\(366\) | 9.71464 | − | 29.8986i | 0.507792 | − | 1.56282i | ||||
\(367\) | 6.33742 | − | 8.72271i | 0.330811 | − | 0.455322i | −0.610919 | − | 0.791693i | \(-0.709200\pi\) |
0.941729 | + | 0.336372i | \(0.109200\pi\) | |||||||
\(368\) | − | 6.43384i | − | 0.335387i | ||||||
\(369\) | 7.13364 | + | 5.18289i | 0.371363 | + | 0.269811i | ||||
\(370\) | 0.136380 | − | 12.2875i | 0.00709003 | − | 0.638795i | ||||
\(371\) | 0.0881460 | − | 0.0640418i | 0.00457631 | − | 0.00332488i | ||||
\(372\) | −1.28684 | − | 1.77118i | −0.0667194 | − | 0.0918314i | ||||
\(373\) | 32.5740 | − | 10.5839i | 1.68662 | − | 0.548016i | 0.700442 | − | 0.713710i | \(-0.252986\pi\) |
0.986177 | + | 0.165694i | \(0.0529864\pi\) | |||||||
\(374\) | 26.5928 | 1.37508 | ||||||||
\(375\) | 22.3221 | − | 15.1088i | 1.15271 | − | 0.780216i | ||||
\(376\) | 4.83895 | 0.249550 | ||||||||
\(377\) | −1.69031 | + | 0.549216i | −0.0870555 | + | 0.0282861i | ||||
\(378\) | 0.265810 | + | 0.365857i | 0.0136718 | + | 0.0188176i | ||||
\(379\) | 14.8750 | − | 10.8073i | 0.764079 | − | 0.555136i | −0.136079 | − | 0.990698i | \(-0.543450\pi\) |
0.900159 | + | 0.435562i | \(0.143450\pi\) | |||||||
\(380\) | 0.000827780 | − | 0.0745810i | 4.24642e−5 | − | 0.00382592i | ||||
\(381\) | 38.0741 | + | 27.6624i | 1.95059 | + | 1.41719i | ||||
\(382\) | − | 14.4250i | − | 0.738050i | ||||||
\(383\) | −3.06850 | + | 4.22343i | −0.156793 | + | 0.215807i | −0.880185 | − | 0.474630i | \(-0.842582\pi\) |
0.723392 | + | 0.690437i | \(0.242582\pi\) | |||||||
\(384\) | 0.745008 | − | 2.29290i | 0.0380185 | − | 0.117009i | ||||
\(385\) | 4.16062 | + | 13.3058i | 0.212045 | + | 0.678125i | ||||
\(386\) | 4.88972 | + | 15.0490i | 0.248880 | + | 0.765974i | ||||
\(387\) | −21.0317 | − | 6.83362i | −1.06910 | − | 0.347373i | ||||
\(388\) | −16.9331 | − | 5.50191i | −0.859649 | − | 0.279317i | ||||
\(389\) | −6.28934 | − | 19.3566i | −0.318882 | − | 0.981419i | −0.974127 | − | 0.226002i | \(-0.927434\pi\) |
0.655244 | − | 0.755417i | \(-0.272566\pi\) | |||||||
\(390\) | 1.03861 | − | 0.737121i | 0.0525919 | − | 0.0373256i | ||||
\(391\) | −8.48017 | + | 26.0993i | −0.428860 | + | 1.31990i | ||||
\(392\) | −0.587785 | + | 0.809017i | −0.0296876 | + | 0.0408615i | ||||
\(393\) | 22.7174i | 1.14594i | ||||||||
\(394\) | 21.3286 | + | 15.4962i | 1.07452 | + | 0.780685i | ||||
\(395\) | −16.3665 | − | 23.0604i | −0.823486 | − | 1.16030i | ||||
\(396\) | 14.1857 | − | 10.3065i | 0.712858 | − | 0.517922i | ||||
\(397\) | −7.59054 | − | 10.4475i | −0.380959 | − | 0.524344i | 0.574880 | − | 0.818238i | \(-0.305049\pi\) |
−0.955838 | + | 0.293894i | \(0.905049\pi\) | |||||||
\(398\) | 8.34559 | − | 2.71165i | 0.418327 | − | 0.135923i | ||||
\(399\) | 0.0804171 | 0.00402589 | ||||||||
\(400\) | −1.65025 | + | 4.71982i | −0.0825125 | + | 0.235991i | ||||
\(401\) | −12.7009 | −0.634252 | −0.317126 | − | 0.948383i | \(-0.602718\pi\) | ||||
−0.317126 | + | 0.948383i | \(0.602718\pi\) | |||||||
\(402\) | 17.6685 | − | 5.74085i | 0.881226 | − | 0.286328i | ||||
\(403\) | 0.126100 | + | 0.173561i | 0.00628147 | + | 0.00864571i | ||||
\(404\) | −8.75613 | + | 6.36170i | −0.435634 | + | 0.316507i | ||||
\(405\) | −12.7128 | + | 17.0954i | −0.631705 | + | 0.849479i | ||||
\(406\) | 6.08625 | + | 4.42192i | 0.302055 | + | 0.219456i | ||||
\(407\) | 34.2623i | 1.69832i | ||||||||
\(408\) | −6.04435 | + | 8.31933i | −0.299240 | + | 0.411868i | ||||
\(409\) | 0.662204 | − | 2.03805i | 0.0327439 | − | 0.100775i | −0.933349 | − | 0.358971i | \(-0.883128\pi\) |
0.966093 | + | 0.258195i | \(0.0831278\pi\) | |||||||
\(410\) | 7.01021 | + | 0.0778068i | 0.346209 | + | 0.00384261i | ||||
\(411\) | −9.29917 | − | 28.6199i | −0.458694 | − | 1.41172i | ||||
\(412\) | −7.40013 | − | 2.40445i | −0.364578 | − | 0.118459i | ||||
\(413\) | −3.40271 | − | 1.10561i | −0.167437 | − | 0.0544034i | ||||
\(414\) | 5.59156 | + | 17.2091i | 0.274810 | + | 0.845779i | ||||
\(415\) | −14.4413 | − | 10.7391i | −0.708896 | − | 0.527162i | ||||
\(416\) | −0.0730048 | + | 0.224686i | −0.00357935 | + | 0.0110161i | ||||
\(417\) | −32.5773 | + | 44.8388i | −1.59532 | + | 2.19576i | ||||
\(418\) | 0.207961i | 0.0101717i | ||||||||
\(419\) | 8.45268 | + | 6.14123i | 0.412941 | + | 0.300019i | 0.774791 | − | 0.632217i | \(-0.217855\pi\) |
−0.361851 | + | 0.932236i | \(0.617855\pi\) | |||||||
\(420\) | −5.10827 | − | 1.72269i | −0.249258 | − | 0.0840586i | ||||
\(421\) | 4.66019 | − | 3.38583i | 0.227124 | − | 0.165015i | −0.468404 | − | 0.883515i | \(-0.655171\pi\) |
0.695528 | + | 0.718499i | \(0.255171\pi\) | |||||||
\(422\) | 2.45838 | + | 3.38366i | 0.119672 | + | 0.164714i | ||||
\(423\) | −12.9431 | + | 4.20547i | −0.629315 | + | 0.204477i | ||||
\(424\) | −0.108954 | −0.00529129 | ||||||||
\(425\) | 12.9153 | − | 16.9711i | 0.626486 | − | 0.823220i | ||||
\(426\) | −6.47325 | −0.313630 | ||||||||
\(427\) | 12.4014 | − | 4.02947i | 0.600147 | − | 0.195000i | ||||
\(428\) | 1.62058 | + | 2.23054i | 0.0783338 | + | 0.107817i | ||||
\(429\) | −2.87288 | + | 2.08727i | −0.138704 | + | 0.100774i | ||||
\(430\) | −16.7809 | + | 5.24728i | −0.809248 | + | 0.253046i | ||||
\(431\) | −16.7569 | − | 12.1746i | −0.807152 | − | 0.586430i | 0.105852 | − | 0.994382i | \(-0.466243\pi\) |
−0.913004 | + | 0.407952i | \(0.866243\pi\) | |||||||
\(432\) | − | 0.452224i | − | 0.0217576i | ||||||
\(433\) | 6.23089 | − | 8.57609i | 0.299438 | − | 0.412140i | −0.632613 | − | 0.774468i | \(-0.718018\pi\) |
0.932051 | + | 0.362327i | \(0.118018\pi\) | |||||||
\(434\) | 0.280614 | − | 0.863640i | 0.0134699 | − | 0.0414561i | ||||
\(435\) | −12.9598 | + | 38.4296i | −0.621375 | + | 1.84256i | ||||
\(436\) | 3.84856 | + | 11.8447i | 0.184313 | + | 0.567257i | ||||
\(437\) | −0.204102 | − | 0.0663166i | −0.00976350 | − | 0.00317235i | ||||
\(438\) | −21.6394 | − | 7.03106i | −1.03397 | − | 0.335957i | ||||
\(439\) | −1.69147 | − | 5.20580i | −0.0807294 | − | 0.248459i | 0.902543 | − | 0.430599i | \(-0.141698\pi\) |
−0.983273 | + | 0.182140i | \(0.941698\pi\) | |||||||
\(440\) | 4.45492 | − | 13.2102i | 0.212380 | − | 0.629769i | ||||
\(441\) | 0.869087 | − | 2.67478i | 0.0413851 | − | 0.127370i | ||||
\(442\) | 0.592297 | − | 0.815227i | 0.0281727 | − | 0.0387764i | ||||
\(443\) | 5.30898i | 0.252237i | 0.992015 | + | 0.126119i | \(0.0402520\pi\) | ||||
−0.992015 | + | 0.126119i | \(0.959748\pi\) | |||||||
\(444\) | −10.7187 | − | 7.78756i | −0.508685 | − | 0.369581i | ||||
\(445\) | 3.78684 | − | 1.18412i | 0.179514 | − | 0.0561326i | ||||
\(446\) | −14.9853 | + | 10.8875i | −0.709574 | + | 0.515536i | ||||
\(447\) | 28.6664 | + | 39.4559i | 1.35587 | + | 1.86620i | ||||
\(448\) | 0.951057 | − | 0.309017i | 0.0449332 | − | 0.0145997i | ||||
\(449\) | −9.32126 | −0.439898 | −0.219949 | − | 0.975511i | \(-0.570589\pi\) | ||||
−0.219949 | + | 0.975511i | \(0.570589\pi\) | |||||||
\(450\) | 0.312115 | − | 14.0587i | 0.0147132 | − | 0.662732i | ||||
\(451\) | −19.5472 | −0.920442 | ||||||||
\(452\) | 3.01338 | − | 0.979106i | 0.141737 | − | 0.0460533i | ||||
\(453\) | −31.3329 | − | 43.1260i | −1.47215 | − | 2.02624i | ||||
\(454\) | −6.92520 | + | 5.03145i | −0.325016 | + | 0.236138i | ||||
\(455\) | 0.500570 | + | 0.168810i | 0.0234671 | + | 0.00791391i | ||||
\(456\) | −0.0650588 | − | 0.0472680i | −0.00304666 | − | 0.00221353i | ||||
\(457\) | 24.5121i | 1.14663i | 0.819336 | + | 0.573314i | \(0.194342\pi\) | ||||
−0.819336 | + | 0.573314i | \(0.805658\pi\) | |||||||
\(458\) | −8.14468 | + | 11.2102i | −0.380576 | + | 0.523818i | ||||
\(459\) | −0.596057 | + | 1.83447i | −0.0278215 | + | 0.0856259i | ||||
\(460\) | 11.5444 | + | 8.58482i | 0.538258 | + | 0.400269i | ||||
\(461\) | −1.10942 | − | 3.41446i | −0.0516710 | − | 0.159027i | 0.921891 | − | 0.387449i | \(-0.126644\pi\) |
−0.973562 | + | 0.228422i | \(0.926644\pi\) | |||||||
\(462\) | 14.2954 | + | 4.64487i | 0.665084 | + | 0.216099i | ||||
\(463\) | −3.14060 | − | 1.02044i | −0.145956 | − | 0.0474240i | 0.235128 | − | 0.971964i | \(-0.424449\pi\) |
−0.381084 | + | 0.924540i | \(0.624449\pi\) | |||||||
\(464\) | −2.32474 | − | 7.15481i | −0.107923 | − | 0.332154i | ||||
\(465\) | 4.89512 | + | 0.0543313i | 0.227006 | + | 0.00251956i | ||||
\(466\) | −0.236444 | + | 0.727699i | −0.0109530 | + | 0.0337100i | ||||
\(467\) | −22.8154 | + | 31.4027i | −1.05577 | + | 1.45314i | −0.172074 | + | 0.985084i | \(0.555047\pi\) |
−0.883697 | + | 0.468060i | \(0.844953\pi\) | |||||||
\(468\) | − | 0.664431i | − | 0.0307133i | ||||||
\(469\) | 6.23409 | + | 4.52933i | 0.287864 | + | 0.209145i | ||||
\(470\) | −6.45673 | + | 8.68262i | −0.297827 | + | 0.400499i | ||||
\(471\) | 5.88262 | − | 4.27398i | 0.271057 | − | 0.196934i | ||||
\(472\) | 2.10299 | + | 2.89452i | 0.0967981 | + | 0.133231i | ||||
\(473\) | 46.6237 | − | 15.1489i | 2.14376 | − | 0.696549i | ||||
\(474\) | −30.4889 | −1.40040 | ||||||||
\(475\) | 0.132718 | + | 0.101001i | 0.00608950 | + | 0.00463422i | ||||
\(476\) | −4.26532 | −0.195501 | ||||||||
\(477\) | 0.291429 | − | 0.0946909i | 0.0133436 | − | 0.00433560i | ||||
\(478\) | 3.79454 | + | 5.22274i | 0.173558 | + | 0.238883i | ||||
\(479\) | 12.4684 | − | 9.05879i | 0.569694 | − | 0.413907i | −0.265300 | − | 0.964166i | \(-0.585471\pi\) |
0.834994 | + | 0.550259i | \(0.185471\pi\) | |||||||
\(480\) | 3.12011 | + | 4.39625i | 0.142413 | + | 0.200661i | ||||
\(481\) | 1.05034 | + | 0.763118i | 0.0478915 | + | 0.0347952i | ||||
\(482\) | 21.1340i | 0.962627i | ||||||||
\(483\) | −9.11732 | + | 12.5489i | −0.414853 | + | 0.570996i | ||||
\(484\) | −8.61258 | + | 26.5068i | −0.391481 | + | 1.20485i | ||||
\(485\) | 32.4664 | − | 23.0421i | 1.47423 | − | 1.04629i | ||||
\(486\) | 6.67886 | + | 20.5554i | 0.302959 | + | 0.932413i | ||||
\(487\) | 17.3981 | + | 5.65300i | 0.788385 | + | 0.256162i | 0.675416 | − | 0.737437i | \(-0.263964\pi\) |
0.112969 | + | 0.993599i | \(0.463964\pi\) | |||||||
\(488\) | −12.4014 | − | 4.02947i | −0.561386 | − | 0.182406i | ||||
\(489\) | 5.54801 | + | 17.0750i | 0.250890 | + | 0.772159i | ||||
\(490\) | −0.667338 | − | 2.13416i | −0.0301473 | − | 0.0964117i | ||||
\(491\) | −4.32842 | + | 13.3215i | −0.195339 | + | 0.601191i | 0.804634 | + | 0.593771i | \(0.202362\pi\) |
−0.999972 | + | 0.00741919i | \(0.997638\pi\) | |||||||
\(492\) | 4.44294 | − | 6.11518i | 0.200303 | − | 0.275693i | ||||
\(493\) | 32.0881i | 1.44517i | ||||||||
\(494\) | 0.00637524 | + | 0.00463188i | 0.000286836 | + | 0.000208398i | ||||
\(495\) | −0.435149 | + | 39.2059i | −0.0195585 | + | 1.76217i | ||||
\(496\) | −0.734656 | + | 0.533759i | −0.0329870 | + | 0.0239665i | ||||
\(497\) | −1.57820 | − | 2.17221i | −0.0707920 | − | 0.0974369i | ||||
\(498\) | −18.4541 | + | 5.99609i | −0.826946 | + | 0.268691i | ||||
\(499\) | 8.13742 | 0.364281 | 0.182141 | − | 0.983273i | \(-0.441697\pi\) | ||||
0.182141 | + | 0.983273i | \(0.441697\pi\) | |||||||
\(500\) | −6.26689 | − | 9.25884i | −0.280264 | − | 0.414068i | ||||
\(501\) | 55.3972 | 2.47497 | ||||||||
\(502\) | 25.8332 | − | 8.39372i | 1.15299 | − | 0.374630i | ||||
\(503\) | 16.4594 | + | 22.6545i | 0.733891 | + | 1.01011i | 0.998947 | + | 0.0458808i | \(0.0146094\pi\) |
−0.265056 | + | 0.964233i | \(0.585391\pi\) | |||||||
\(504\) | −2.27530 | + | 1.65310i | −0.101350 | + | 0.0736350i | ||||
\(505\) | 0.268596 | − | 24.1999i | 0.0119524 | − | 1.07688i | ||||
\(506\) | −32.4519 | − | 23.5777i | −1.44266 | − | 1.04816i | ||||
\(507\) | − | 31.2071i | − | 1.38596i | ||||||
\(508\) | 11.4739 | − | 15.7925i | 0.509073 | − | 0.700678i | ||||
\(509\) | −1.46398 | + | 4.50566i | −0.0648897 | + | 0.199710i | −0.978245 | − | 0.207454i | \(-0.933482\pi\) |
0.913355 | + | 0.407164i | \(0.133482\pi\) | |||||||
\(510\) | −6.86241 | − | 21.9462i | −0.303873 | − | 0.971793i | ||||
\(511\) | −2.91637 | − | 8.97565i | −0.129012 | − | 0.397059i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −0.0143460 | − | 0.00466128i | −0.000633390 | − | 0.000205801i | ||||
\(514\) | 3.86930 | + | 11.9085i | 0.170668 | + | 0.525261i | ||||
\(515\) | 14.1885 | − | 10.0699i | 0.625221 | − | 0.443732i | ||||
\(516\) | −5.85799 | + | 18.0290i | −0.257884 | + | 0.793685i | ||||
\(517\) | 17.7330 | − | 24.4074i | 0.779896 | − | 1.07343i | ||||
\(518\) | − | 5.49546i | − | 0.241457i | ||||||
\(519\) | 18.7196 | + | 13.6006i | 0.821701 | + | 0.597001i | ||||
\(520\) | −0.305745 | − | 0.430797i | −0.0134078 | − | 0.0188917i | ||||
\(521\) | 24.6572 | − | 17.9145i | 1.08025 | − | 0.784849i | 0.102526 | − | 0.994730i | \(-0.467308\pi\) |
0.977727 | + | 0.209881i | \(0.0673076\pi\) | |||||||
\(522\) | 12.4363 | + | 17.1171i | 0.544323 | + | 0.749196i | ||||
\(523\) | −34.7272 | + | 11.2835i | −1.51851 | + | 0.493395i | −0.945353 | − | 0.326048i | \(-0.894283\pi\) |
−0.573160 | + | 0.819443i | \(0.694283\pi\) | |||||||
\(524\) | 9.42281 | 0.411638 | ||||||||
\(525\) | 9.90715 | − | 6.86725i | 0.432383 | − | 0.299711i | ||||
\(526\) | 8.67370 | 0.378191 | ||||||||
\(527\) | 3.68371 | − | 1.19691i | 0.160465 | − | 0.0521381i | ||||
\(528\) | −8.83506 | − | 12.1604i | −0.384497 | − | 0.529214i | ||||
\(529\) | 14.8813 | − | 10.8119i | 0.647011 | − | 0.470081i | ||||
\(530\) | 0.145380 | − | 0.195499i | 0.00631492 | − | 0.00849193i | ||||
\(531\) | −8.14062 | − | 5.91451i | −0.353273 | − | 0.256668i | ||||
\(532\) | − | 0.0333557i | − | 0.00144615i | ||||||
\(533\) | −0.435372 | + | 0.599238i | −0.0188580 | + | 0.0259559i | ||||
\(534\) | 1.32194 | − | 4.06850i | 0.0572058 | − | 0.176061i | ||||
\(535\) | −6.16468 | − | 0.0684223i | −0.266523 | − | 0.00295815i | ||||
\(536\) | −2.38121 | − | 7.32861i | −0.102853 | − | 0.316548i | ||||
\(537\) | −2.93593 | − | 0.953943i | −0.126695 | − | 0.0411657i | ||||
\(538\) | −14.2350 | − | 4.62523i | −0.613714 | − | 0.199408i | ||||
\(539\) | 1.92661 | + | 5.92951i | 0.0829851 | + | 0.255402i | ||||
\(540\) | 0.811433 | + | 0.603413i | 0.0349185 | + | 0.0259668i | ||||
\(541\) | −0.0537292 | + | 0.165361i | −0.00231000 | + | 0.00710944i | −0.952205 | − | 0.305460i | \(-0.901190\pi\) |
0.949895 | + | 0.312570i | \(0.101190\pi\) | |||||||
\(542\) | 9.69193 | − | 13.3398i | 0.416304 | − | 0.572993i | ||||
\(543\) | 14.1743i | 0.608279i | ||||||||
\(544\) | 3.45072 | + | 2.50709i | 0.147948 | + | 0.107491i | ||||
\(545\) | −26.3883 | − | 8.89907i | −1.13035 | − | 0.381194i | ||||
\(546\) | 0.460792 | − | 0.334785i | 0.0197201 | − | 0.0143275i | ||||
\(547\) | −13.2767 | − | 18.2737i | −0.567669 | − | 0.781329i | 0.424607 | − | 0.905378i | \(-0.360412\pi\) |
−0.992276 | + | 0.124049i | \(0.960412\pi\) | |||||||
\(548\) | −11.8711 | + | 3.85714i | −0.507106 | + | 0.164769i | ||||
\(549\) | 36.6730 | 1.56517 | ||||||||
\(550\) | 17.7589 | + | 25.6202i | 0.757242 | + | 1.09245i | ||||
\(551\) | −0.250935 | −0.0106902 | ||||||||
\(552\) | 14.7521 | − | 4.79326i | 0.627893 | − | 0.204015i | ||||
\(553\) | −7.43331 | − | 10.2311i | −0.316097 | − | 0.435070i | ||||
\(554\) | 2.53011 | − | 1.83823i | 0.107494 | − | 0.0780990i | ||||
\(555\) | 28.2755 | − | 8.84156i | 1.20023 | − | 0.375303i | ||||
\(556\) | 18.5984 | + | 13.5125i | 0.788747 | + | 0.573058i | ||||
\(557\) | 16.5157i | 0.699794i | 0.936788 | + | 0.349897i | \(0.113783\pi\) | ||||
−0.936788 | + | 0.349897i | \(0.886217\pi\) | |||||||
\(558\) | 1.50116 | − | 2.06617i | 0.0635491 | − | 0.0874678i | ||||
\(559\) | 0.574036 | − | 1.76670i | 0.0242791 | − | 0.0747235i | ||||
\(560\) | −0.714543 | + | 2.11883i | −0.0301949 | + | 0.0895368i | ||||
\(561\) | 19.8119 | + | 60.9746i | 0.836457 | + | 2.57435i | ||||
\(562\) | −24.6278 | − | 8.00207i | −1.03886 | − | 0.337547i | ||||
\(563\) | 13.5376 | + | 4.39864i | 0.570543 | + | 0.185381i | 0.580060 | − | 0.814574i | \(-0.303029\pi\) |
−0.00951665 | + | 0.999955i | \(0.503029\pi\) | |||||||
\(564\) | 3.60506 | + | 11.0952i | 0.151800 | + | 0.467193i | ||||
\(565\) | −2.26400 | + | 6.71341i | −0.0952470 | + | 0.282435i | ||||
\(566\) | −7.85227 | + | 24.1668i | −0.330056 | + | 1.01581i | ||||
\(567\) | −5.60015 | + | 7.70794i | −0.235184 | + | 0.323703i | ||||
\(568\) | 2.68500i | 0.112660i | ||||||||
\(569\) | −3.37550 | − | 2.45244i | −0.141508 | − | 0.102812i | 0.514779 | − | 0.857323i | \(-0.327874\pi\) |
−0.656287 | + | 0.754511i | \(0.727874\pi\) | |||||||
\(570\) | 0.171623 | − | 0.0536654i | 0.00718852 | − | 0.00224780i | ||||
\(571\) | 7.92955 | − | 5.76116i | 0.331841 | − | 0.241097i | −0.409370 | − | 0.912368i | \(-0.634252\pi\) |
0.741212 | + | 0.671271i | \(0.234252\pi\) | |||||||
\(572\) | 0.865764 | + | 1.19162i | 0.0361994 | + | 0.0498242i | ||||
\(573\) | 33.0752 | − | 10.7468i | 1.38174 | − | 0.448953i | ||||
\(574\) | 3.13525 | 0.130863 | ||||||||
\(575\) | −30.8078 | + | 9.25931i | −1.28477 | + | 0.386140i | ||||
\(576\) | 2.81243 | 0.117184 | ||||||||
\(577\) | 13.3896 | − | 4.35053i | 0.557415 | − | 0.181115i | −0.0167427 | − | 0.999860i | \(-0.505330\pi\) |
0.574158 | + | 0.818745i | \(0.305330\pi\) | |||||||
\(578\) | −0.701219 | − | 0.965145i | −0.0291669 | − | 0.0401448i | ||||
\(579\) | −30.8630 | + | 22.4233i | −1.28262 | + | 0.931879i | ||||
\(580\) | 15.9400 | + | 5.37551i | 0.661871 | + | 0.223206i | ||||
\(581\) | −6.51125 | − | 4.73070i | −0.270132 | − | 0.196263i | ||||
\(582\) | − | 42.9249i | − | 1.77930i | ||||||
\(583\) | −0.399278 | + | 0.549559i | −0.0165364 | + | 0.0227604i | ||||
\(584\) | −2.91637 | + | 8.97565i | −0.120680 | + | 0.371415i | ||||
\(585\) | 1.19220 | + | 0.886566i | 0.0492914 | + | 0.0366550i | ||||
\(586\) | 4.18476 | + | 12.8794i | 0.172871 | + | 0.532042i | ||||
\(587\) | 4.69570 | + | 1.52572i | 0.193812 | + | 0.0629734i | 0.404315 | − | 0.914620i | \(-0.367510\pi\) |
−0.210503 | + | 0.977593i | \(0.567510\pi\) | |||||||
\(588\) | −2.29290 | − | 0.745008i | −0.0945576 | − | 0.0307236i | ||||
\(589\) | 0.00936007 | + | 0.0288073i | 0.000385675 | + | 0.00118698i | ||||
\(590\) | −7.99977 | − | 0.0887900i | −0.329345 | − | 0.00365543i | ||||
\(591\) | −19.6411 | + | 60.4492i | −0.807928 | + | 2.48655i | ||||
\(592\) | −3.23015 | + | 4.44592i | −0.132758 | + | 0.182726i | ||||
\(593\) | − | 8.66896i | − | 0.355991i | −0.984031 | − | 0.177996i | \(-0.943039\pi\) | ||
0.984031 | − | 0.177996i | \(-0.0569613\pi\) | |||||||
\(594\) | −2.28099 | − | 1.65724i | −0.0935901 | − | 0.0679972i | ||||
\(595\) | 5.69132 | − | 7.65335i | 0.233322 | − | 0.313757i | ||||
\(596\) | 16.3656 | − | 11.8903i | 0.670362 | − | 0.487047i | ||||
\(597\) | 12.4351 | + | 17.1154i | 0.508933 | + | 0.700487i | ||||
\(598\) | −1.44559 | + | 0.469701i | −0.0591146 | + | 0.0192075i | ||||
\(599\) | 4.24502 | 0.173447 | 0.0867234 | − | 0.996232i | \(-0.472360\pi\) | ||||
0.0867234 | + | 0.996232i | \(0.472360\pi\) | |||||||
\(600\) | −12.0515 | − | 0.267554i | −0.492001 | − | 0.0109229i | ||||
\(601\) | 33.6617 | 1.37309 | 0.686545 | − | 0.727088i | \(-0.259127\pi\) | ||||
0.686545 | + | 0.727088i | \(0.259127\pi\) | |||||||
\(602\) | −7.47815 | + | 2.42980i | −0.304787 | + | 0.0990312i | ||||
\(603\) | 12.7384 | + | 17.5329i | 0.518748 | + | 0.713995i | ||||
\(604\) | −17.8879 | + | 12.9963i | −0.727850 | + | 0.528814i | ||||
\(605\) | −36.0697 | − | 50.8224i | −1.46644 | − | 2.06622i | ||||
\(606\) | −21.1101 | − | 15.3374i | −0.857541 | − | 0.623040i | ||||
\(607\) | 39.4316i | 1.60048i | 0.599680 | + | 0.800240i | \(0.295295\pi\) | ||||
−0.599680 | + | 0.800240i | \(0.704705\pi\) | |||||||
\(608\) | −0.0196060 | + | 0.0269853i | −0.000795128 | + | 0.00109440i | ||||
\(609\) | −5.60471 | + | 17.2495i | −0.227114 | + | 0.698986i | ||||
\(610\) | 23.7777 | − | 16.8755i | 0.962730 | − | 0.683269i | ||||
\(611\) | −0.353266 | − | 1.08724i | −0.0142916 | − | 0.0439851i | ||||
\(612\) | −11.4088 | − | 3.70694i | −0.461173 | − | 0.149844i | ||||
\(613\) | −3.13083 | − | 1.01727i | −0.126453 | − | 0.0410871i | 0.245107 | − | 0.969496i | \(-0.421177\pi\) |
−0.371560 | + | 0.928409i | \(0.621177\pi\) | |||||||
\(614\) | 1.02866 | + | 3.16588i | 0.0415132 | + | 0.127765i | ||||
\(615\) | 5.04426 | + | 16.1317i | 0.203404 | + | 0.650492i | ||||
\(616\) | 1.92661 | − | 5.92951i | 0.0776255 | − | 0.238907i | ||||
\(617\) | −0.229134 | + | 0.315376i | −0.00922459 | + | 0.0126966i | −0.813604 | − | 0.581419i | \(-0.802498\pi\) |
0.804380 | + | 0.594115i | \(0.202498\pi\) | |||||||
\(618\) | − | 18.7591i | − | 0.754602i | ||||||
\(619\) | 20.9503 | + | 15.2213i | 0.842065 | + | 0.611796i | 0.922947 | − | 0.384928i | \(-0.125774\pi\) |
−0.0808819 | + | 0.996724i | \(0.525774\pi\) | |||||||
\(620\) | 0.0225357 | − | 2.03041i | 0.000905057 | − | 0.0815434i | ||||
\(621\) | 2.35386 | − | 1.71018i | 0.0944572 | − | 0.0686272i | ||||
\(622\) | −1.15682 | − | 1.59222i | −0.0463842 | − | 0.0638423i | ||||
\(623\) | 1.68755 | − | 0.548317i | 0.0676101 | − | 0.0219679i | ||||
\(624\) | −0.569571 | −0.0228011 | ||||||||
\(625\) | 24.9754 | + | 1.10950i | 0.999015 | + | 0.0443799i | ||||
\(626\) | −2.37355 | −0.0948662 | ||||||||
\(627\) | −0.476834 | + | 0.154933i | −0.0190429 | + | 0.00618742i | ||||
\(628\) | −1.77277 | − | 2.44001i | −0.0707414 | − | 0.0973672i | ||||
\(629\) | 18.9633 | − | 13.7776i | 0.756116 | − | 0.549350i | ||||
\(630\) | 0.0697953 | − | 6.28839i | 0.00278071 | − | 0.250535i | ||||
\(631\) | −15.7433 | − | 11.4382i | −0.626731 | − | 0.455347i | 0.228535 | − | 0.973536i | \(-0.426606\pi\) |
−0.855266 | + | 0.518189i | \(0.826606\pi\) | |||||||
\(632\) | 12.6463i | 0.503043i | ||||||||
\(633\) | −5.92689 | + | 8.15767i | −0.235573 | + | 0.324238i | ||||
\(634\) | 8.32438 | − | 25.6198i | 0.330603 | − | 1.01749i | ||||
\(635\) | 13.0268 | + | 41.6601i | 0.516954 | + | 1.65323i | ||||
\(636\) | −0.0811719 | − | 0.249822i | −0.00321868 | − | 0.00990607i | ||||
\(637\) | 0.224686 | + | 0.0730048i | 0.00890237 | + | 0.00289255i | ||||
\(638\) | −44.6078 | − | 14.4939i | −1.76604 | − | 0.573821i | ||||
\(639\) | −2.33350 | − | 7.18176i | −0.0923117 | − | 0.284106i | ||||
\(640\) | 1.82349 | − | 1.29417i | 0.0720799 | − | 0.0511565i | ||||
\(641\) | −12.5190 | + | 38.5294i | −0.494469 | + | 1.52182i | 0.323313 | + | 0.946292i | \(0.395203\pi\) |
−0.817783 | + | 0.575527i | \(0.804797\pi\) | |||||||
\(642\) | −3.90706 | + | 5.37761i | −0.154199 | + | 0.212237i | ||||
\(643\) | − | 40.0048i | − | 1.57763i | −0.614628 | − | 0.788817i | \(-0.710694\pi\) | ||
0.614628 | − | 0.788817i | \(-0.289306\pi\) | |||||||
\(644\) | 5.20508 | + | 3.78171i | 0.205109 | + | 0.149020i | ||||
\(645\) | −24.5334 | − | 34.5677i | −0.966002 | − | 1.36110i | ||||
\(646\) | 0.115101 | − | 0.0836259i | 0.00452859 | − | 0.00329022i | ||||
\(647\) | 2.18347 | + | 3.00529i | 0.0858410 | + | 0.118150i | 0.849778 | − | 0.527141i | \(-0.176736\pi\) |
−0.763937 | + | 0.645291i | \(0.776736\pi\) | |||||||
\(648\) | 9.06123 | − | 2.94417i | 0.355959 | − | 0.115658i | ||||
\(649\) | 22.3065 | 0.875606 | ||||||||
\(650\) | 1.18095 | + | 0.0262182i | 0.0463207 | + | 0.00102836i | ||||
\(651\) | 2.18930 | 0.0858054 | ||||||||
\(652\) | 7.08243 | − | 2.30122i | 0.277369 | − | 0.0901228i | ||||
\(653\) | 10.7197 | + | 14.7544i | 0.419495 | + | 0.577385i | 0.965502 | − | 0.260395i | \(-0.0838529\pi\) |
−0.546007 | + | 0.837780i | \(0.683853\pi\) | |||||||
\(654\) | −24.2914 | + | 17.6487i | −0.949869 | + | 0.690120i | ||||
\(655\) | −12.5731 | + | 16.9075i | −0.491271 | + | 0.660632i | ||||
\(656\) | −2.53647 | − | 1.84286i | −0.0990326 | − | 0.0719514i | ||||
\(657\) | − | 26.5424i | − | 1.03552i | ||||||
\(658\) | −2.84426 | + | 3.91479i | −0.110881 | + | 0.152615i | ||||
\(659\) | 9.95525 | − | 30.6391i | 0.387802 | − | 1.19353i | −0.546626 | − | 0.837377i | \(-0.684088\pi\) |
0.934427 | − | 0.356154i | \(-0.115912\pi\) | |||||||
\(660\) | 33.6085 | + | 0.373023i | 1.30821 | + | 0.0145199i | ||||
\(661\) | −9.34644 | − | 28.7654i | −0.363534 | − | 1.11884i | −0.950894 | − | 0.309518i | \(-0.899832\pi\) |
0.587359 | − | 0.809326i | \(-0.300168\pi\) | |||||||
\(662\) | 17.3228 | + | 5.62853i | 0.673271 | + | 0.218759i | ||||
\(663\) | 2.31050 | + | 0.750727i | 0.0897324 | + | 0.0291558i | ||||
\(664\) | 2.48708 | + | 7.65444i | 0.0965173 | + | 0.297050i | ||||
\(665\) | 0.0598507 | + | 0.0445073i | 0.00232091 | + | 0.00172592i | ||||
\(666\) | 4.77603 | − | 14.6991i | 0.185068 | − | 0.569579i | ||||
\(667\) | 28.4499 | − | 39.1579i | 1.10158 | − | 1.51620i | ||||
\(668\) | − | 22.9779i | − | 0.889040i | ||||||
\(669\) | −36.1280 | − | 26.2485i | −1.39679 | − | 1.01483i | ||||
\(670\) | 16.3272 | + | 5.50609i | 0.630774 | + | 0.212719i | ||||
\(671\) | −65.7711 | + | 47.7855i | −2.53907 | + | 1.84474i | ||||
\(672\) | 1.41709 | + | 1.95046i | 0.0546654 | + | 0.0752405i | ||||
\(673\) | 14.2433 | − | 4.62792i | 0.549037 | − | 0.178393i | −0.0213452 | − | 0.999772i | \(-0.506795\pi\) |
0.570383 | + | 0.821379i | \(0.306795\pi\) | |||||||
\(674\) | −6.92393 | −0.266700 | ||||||||
\(675\) | −2.16543 | + | 0.650822i | −0.0833474 | + | 0.0250501i | ||||
\(676\) | −12.9442 | −0.497853 | ||||||||
\(677\) | −13.8960 | + | 4.51509i | −0.534067 | + | 0.173529i | −0.563620 | − | 0.826034i | \(-0.690592\pi\) |
0.0295526 | + | 0.999563i | \(0.490592\pi\) | |||||||
\(678\) | 4.48998 | + | 6.17993i | 0.172437 | + | 0.237339i | ||||
\(679\) | 14.4042 | − | 10.4652i | 0.552782 | − | 0.401619i | ||||
\(680\) | −9.10290 | + | 2.84641i | −0.349080 | + | 0.109155i | ||||
\(681\) | −16.6960 | − | 12.1303i | −0.639790 | − | 0.464835i | ||||
\(682\) | 5.66159i | 0.216794i | ||||||||
\(683\) | 17.6509 | − | 24.2944i | 0.675394 | − | 0.929600i | −0.324474 | − | 0.945895i | \(-0.605187\pi\) |
0.999867 | + | 0.0162951i | \(0.00518713\pi\) | |||||||
\(684\) | 0.0289890 | − | 0.0892190i | 0.00110842 | − | 0.00341137i | ||||
\(685\) | 8.91890 | − | 26.4471i | 0.340773 | − | 1.01049i | ||||
\(686\) | −0.309017 | − | 0.951057i | −0.0117983 | − | 0.0363115i | ||||
\(687\) | −31.7717 | − | 10.3233i | −1.21217 | − | 0.393857i | ||||
\(688\) | 7.47815 | + | 2.42980i | 0.285102 | + | 0.0926352i | ||||
\(689\) | 0.00795419 | + | 0.0244805i | 0.000303031 | + | 0.000932632i | ||||
\(690\) | −11.0835 | + | 32.8658i | −0.421942 | + | 1.25118i | ||||
\(691\) | 14.9099 | − | 45.8878i | 0.567198 | − | 1.74565i | −0.0941325 | − | 0.995560i | \(-0.530008\pi\) |
0.661330 | − | 0.750095i | \(-0.269992\pi\) | |||||||
\(692\) | 5.64131 | − | 7.76459i | 0.214450 | − | 0.295166i | ||||
\(693\) | 17.5345i | 0.666080i | ||||||||
\(694\) | −18.0297 | − | 13.0993i | −0.684397 | − | 0.497243i | ||||
\(695\) | −49.0620 | + | 15.3413i | −1.86103 | + | 0.581931i | ||||
\(696\) | 14.6733 | − | 10.6608i | 0.556191 | − | 0.404096i | ||||
\(697\) | 7.86038 | + | 10.8189i | 0.297733 | + | 0.409794i | ||||
\(698\) | 7.00460 | − | 2.27593i | 0.265128 | − | 0.0861454i | ||||
\(699\) | −1.84469 | −0.0697727 | ||||||||
\(700\) | −2.84842 | − | 4.10932i | −0.107660 | − | 0.155318i | ||||
\(701\) | 11.8399 | 0.447185 | 0.223593 | − | 0.974683i | \(-0.428221\pi\) | ||||
0.223593 | + | 0.974683i | \(0.428221\pi\) | |||||||
\(702\) | −0.101608 | + | 0.0330145i | −0.00383495 | + | 0.00124605i | ||||
\(703\) | 0.107744 | + | 0.148297i | 0.00406364 | + | 0.00559312i | ||||
\(704\) | −5.04394 | + | 3.66464i | −0.190101 | + | 0.138116i | ||||
\(705\) | −24.7187 | − | 8.33600i | −0.930960 | − | 0.313952i | ||||
\(706\) | −0.149555 | − | 0.108658i | −0.00562858 | − | 0.00408940i | ||||
\(707\) | − | 10.8232i | − | 0.407047i | ||||||
\(708\) | −5.07010 | + | 6.97839i | −0.190546 | + | 0.262264i | ||||
\(709\) | −12.4066 | + | 38.1837i | −0.465940 | + | 1.43402i | 0.391856 | + | 0.920027i | \(0.371833\pi\) |
−0.857796 | + | 0.513990i | \(0.828167\pi\) | |||||||
\(710\) | −4.81774 | − | 3.58266i | −0.180807 | − | 0.134455i | ||||
\(711\) | −10.9907 | − | 33.8260i | −0.412185 | − | 1.26858i | ||||
\(712\) | −1.68755 | − | 0.548317i | −0.0632435 | − | 0.0205491i | ||||
\(713\) | −5.55652 | − | 1.80542i | −0.208093 | − | 0.0676136i | ||||
\(714\) | −3.17770 | − | 9.77996i | −0.118922 | − | 0.366006i | ||||
\(715\) | −3.29336 | − | 0.0365533i | −0.123165 | − | 0.00136701i | ||||
\(716\) | −0.395680 | + | 1.21778i | −0.0147872 | + | 0.0455104i | ||||
\(717\) | −9.14826 | + | 12.5915i | −0.341648 | + | 0.470238i | ||||
\(718\) | − | 20.9553i | − | 0.782046i | ||||||
\(719\) | −12.1594 | − | 8.83435i | −0.453471 | − | 0.329466i | 0.337494 | − | 0.941328i | \(-0.390421\pi\) |
−0.790965 | + | 0.611862i | \(0.790421\pi\) | |||||||
\(720\) | −3.75269 | + | 5.04639i | −0.139854 | + | 0.188068i | ||||
\(721\) | 6.29493 | − | 4.57353i | 0.234435 | − | 0.170327i | ||||
\(722\) | −11.1673 | − | 15.3704i | −0.415603 | − | 0.572028i | ||||
\(723\) | −48.4581 | + | 15.7450i | −1.80218 | + | 0.585563i | ||||
\(724\) | 5.87928 | 0.218502 | ||||||||
\(725\) | −30.9145 | + | 21.4287i | −1.14813 | + | 0.795842i | ||||
\(726\) | −67.1938 | −2.49380 | ||||||||
\(727\) | 21.9246 | − | 7.12372i | 0.813137 | − | 0.264204i | 0.127211 | − | 0.991876i | \(-0.459397\pi\) |
0.685926 | + | 0.727671i | \(0.259397\pi\) | |||||||
\(728\) | −0.138863 | − | 0.191129i | −0.00514662 | − | 0.00708371i | ||||
\(729\) | −19.0319 | + | 13.8275i | −0.704885 | + | 0.512129i | ||||
\(730\) | −12.2138 | − | 17.2093i | −0.452053 | − | 0.636945i | ||||
\(731\) | −27.1330 | − | 19.7133i | −1.00355 | − | 0.729121i | ||||
\(732\) | − | 31.4372i | − | 1.16195i | ||||||
\(733\) | −27.6172 | + | 38.0118i | −1.02006 | + | 1.40400i | −0.107907 | + | 0.994161i | \(0.534415\pi\) |
−0.912158 | + | 0.409838i | \(0.865585\pi\) | |||||||
\(734\) | 3.33178 | − | 10.2542i | 0.122978 | − | 0.378488i | ||||
\(735\) | 4.39625 | − | 3.12011i | 0.162158 | − | 0.115087i | ||||
\(736\) | −1.98816 | − | 6.11894i | −0.0732847 | − | 0.225547i | ||||
\(737\) | −45.6913 | − | 14.8460i | −1.68306 | − | 0.546860i | ||||
\(738\) | 8.38610 | + | 2.72481i | 0.308697 | + | 0.100302i | ||||
\(739\) | −4.37815 | − | 13.4746i | −0.161053 | − | 0.495670i | 0.837671 | − | 0.546176i | \(-0.183917\pi\) |
−0.998724 | + | 0.0505052i | \(0.983917\pi\) | |||||||
\(740\) | −3.66733 | − | 11.7282i | −0.134814 | − | 0.431138i | ||||
\(741\) | −0.00587084 | + | 0.0180686i | −0.000215671 | + | 0.000663766i | ||||
\(742\) | 0.0640418 | − | 0.0881460i | 0.00235105 | − | 0.00323594i | ||||
\(743\) | 31.7647i | 1.16533i | 0.812711 | + | 0.582667i | \(0.197991\pi\) | ||||
−0.812711 | + | 0.582667i | \(0.802009\pi\) | |||||||
\(744\) | −1.77118 | − | 1.28684i | −0.0649346 | − | 0.0471778i | ||||
\(745\) | −0.502019 | + | 45.2307i | −0.0183926 | + | 1.65712i | ||||
\(746\) | 27.7091 | − | 20.1319i | 1.01450 | − | 0.737079i | ||||
\(747\) | −13.3047 | − | 18.3124i | −0.486795 | − | 0.670016i | ||||
\(748\) | 25.2913 | − | 8.21763i | 0.924740 | − | 0.300466i | ||||
\(749\) | −2.75710 | −0.100742 | ||||||||
\(750\) | 16.5607 | − | 21.2673i | 0.604711 | − | 0.776570i | ||||
\(751\) | 47.1624 | 1.72098 | 0.860489 | − | 0.509468i | \(-0.170158\pi\) | ||||
0.860489 | + | 0.509468i | \(0.170158\pi\) | |||||||
\(752\) | 4.60211 | − | 1.49532i | 0.167822 | − | 0.0545286i | ||||
\(753\) | 38.4919 | + | 52.9796i | 1.40272 | + | 1.93068i | ||||
\(754\) | −1.43787 | + | 1.04467i | −0.0523640 | + | 0.0380447i | ||||
\(755\) | 0.548716 | − | 49.4380i | 0.0199698 | − | 1.79923i | ||||
\(756\) | 0.365857 | + | 0.265810i | 0.0133061 | + | 0.00966743i | ||||
\(757\) | − | 1.22255i | − | 0.0444345i | −0.999753 | − | 0.0222173i | \(-0.992927\pi\) | ||
0.999753 | − | 0.0222173i | \(-0.00707255\pi\) | |||||||
\(758\) | 10.8073 | − | 14.8750i | 0.392541 | − | 0.540286i | ||||
\(759\) | 29.8843 | − | 91.9745i | 1.08473 | − | 3.33846i | ||||
\(760\) | −0.0222595 | − | 0.0711866i | −0.000807438 | − | 0.00258221i | ||||
\(761\) | −11.7774 | − | 36.2470i | −0.426929 | − | 1.31395i | −0.901135 | − | 0.433538i | \(-0.857265\pi\) |
0.474206 | − | 0.880414i | \(-0.342735\pi\) | |||||||
\(762\) | 44.7587 | + | 14.5430i | 1.62144 | + | 0.526837i | ||||
\(763\) | −11.8447 | − | 3.84856i | −0.428806 | − | 0.139327i | ||||
\(764\) | −4.45759 | − | 13.7190i | −0.161270 | − | 0.496337i | ||||
\(765\) | 21.8744 | − | 15.5247i | 0.790872 | − | 0.561298i | ||||
\(766\) | −1.61321 | + | 4.96494i | −0.0582875 | + | 0.179391i | ||||
\(767\) | 0.496829 | − | 0.683826i | 0.0179394 | − | 0.0246915i | ||||
\(768\) | − | 2.41090i | − | 0.0869958i | ||||||
\(769\) | −10.0703 | − | 7.31653i | −0.363146 | − | 0.263841i | 0.391217 | − | 0.920298i | \(-0.372054\pi\) |
−0.754363 | + | 0.656458i | \(0.772054\pi\) | |||||||
\(770\) | 8.06870 | + | 11.3688i | 0.290776 | + | 0.409705i | ||||
\(771\) | −24.4223 | + | 17.7438i | −0.879548 | + | 0.639029i | ||||
\(772\) | 9.30080 | + | 12.8014i | 0.334743 | + | 0.460734i | ||||
\(773\) | 25.6194 | − | 8.32426i | 0.921467 | − | 0.299403i | 0.190398 | − | 0.981707i | \(-0.439022\pi\) |
0.731068 | + | 0.682304i | \(0.239022\pi\) | |||||||
\(774\) | −22.1141 | −0.794874 | ||||||||
\(775\) | 3.61314 | + | 2.74967i | 0.129788 | + | 0.0987710i | ||||
\(776\) | −17.8045 | −0.639146 | ||||||||
\(777\) | 12.6005 | − | 4.09416i | 0.452042 | − | 0.146877i | ||||
\(778\) | −11.9630 | − | 16.4657i | −0.428896 | − | 0.590324i | ||||
\(779\) | −0.0846058 | + | 0.0614697i | −0.00303132 | + | 0.00220238i | ||||
\(780\) | 0.759992 | − | 1.02199i | 0.0272121 | − | 0.0365932i | ||||
\(781\) | 13.5430 | + | 9.83954i | 0.484605 | + | 0.352086i | ||||
\(782\) | 27.4424i | 0.981338i | ||||||||
\(783\) | 1.99970 | − | 2.75234i | 0.0714633 | − | 0.0983608i | ||||
\(784\) | −0.309017 | + | 0.951057i | −0.0110363 | + | 0.0339663i | ||||
\(785\) | 6.74362 | + | 0.0748479i | 0.240690 | + | 0.00267144i | ||||
\(786\) | 7.02007 | + | 21.6056i | 0.250398 | + | 0.770645i | ||||
\(787\) | 33.9815 | + | 11.0412i | 1.21131 | + | 0.393578i | 0.843910 | − | 0.536485i | \(-0.180248\pi\) |
0.367399 | + | 0.930063i | \(0.380248\pi\) | |||||||
\(788\) | 25.0733 | + | 8.14681i | 0.893200 | + | 0.290218i | ||||
\(789\) | 6.46198 | + | 19.8879i | 0.230053 | + | 0.708029i | ||||
\(790\) | −22.6915 | − | 16.8743i | −0.807327 | − | 0.600360i | ||||
\(791\) | −0.979106 | + | 3.01338i | −0.0348130 | + | 0.107143i | ||||
\(792\) | 10.3065 | − | 14.1857i | 0.366226 | − | 0.504067i | ||||
\(793\) | 3.08059i | 0.109395i | ||||||||
\(794\) | −10.4475 | − | 7.59054i | −0.370767 | − | 0.269378i | ||||
\(795\) | 0.556569 | + | 0.187695i | 0.0197395 | + | 0.00665684i | ||||
\(796\) | 7.09918 | − | 5.15786i | 0.251624 | − | 0.182815i | ||||
\(797\) | −3.59380 | − | 4.94644i | −0.127299 | − | 0.175212i | 0.740610 | − | 0.671935i | \(-0.234537\pi\) |
−0.867909 | + | 0.496723i | \(0.834537\pi\) | |||||||
\(798\) | 0.0764813 | − | 0.0248503i | 0.00270741 | − | 0.000879690i | ||||
\(799\) | −20.6397 | −0.730180 | ||||||||
\(800\) | −0.110977 | + | 4.99877i | −0.00392363 | + | 0.176733i | ||||
\(801\) | 4.99034 | 0.176325 | ||||||||
\(802\) | −12.0793 | + | 3.92479i | −0.426534 | + | 0.138589i | ||||
\(803\) | 34.5852 | + | 47.6025i | 1.22049 | + | 1.67985i | ||||
\(804\) | 15.0297 | − | 10.9198i | 0.530058 | − | 0.385110i | ||||
\(805\) | −13.7309 | + | 4.29355i | −0.483949 | + | 0.151328i | ||||
\(806\) | 0.173561 | + | 0.126100i | 0.00611344 | + | 0.00444167i | ||||
\(807\) | − | 36.0852i | − | 1.27026i | ||||||
\(808\) | −6.36170 | + | 8.75613i | −0.223804 | + | 0.308040i | ||||
\(809\) | −6.60904 | + | 20.3405i | −0.232361 | + | 0.715135i | 0.765099 | + | 0.643912i | \(0.222690\pi\) |
−0.997460 | + | 0.0712221i | \(0.977310\pi\) | |||||||
\(810\) | −6.80783 | + | 20.1872i | −0.239203 | + | 0.709306i | ||||
\(811\) | −3.38844 | − | 10.4286i | −0.118984 | − | 0.366196i | 0.873773 | − | 0.486334i | \(-0.161666\pi\) |
−0.992757 | + | 0.120138i | \(0.961666\pi\) | |||||||
\(812\) | 7.15481 | + | 2.32474i | 0.251085 | + | 0.0815824i | ||||
\(813\) | 37.8074 | + | 12.2844i | 1.32596 | + | 0.430831i | ||||
\(814\) | 10.5876 | + | 32.5854i | 0.371096 | + | 1.14212i | ||||
\(815\) | −5.32113 | + | 15.7787i | −0.186391 | + | 0.552704i | ||||
\(816\) | −3.17770 | + | 9.77996i | −0.111242 | + | 0.342367i | ||||
\(817\) | 0.154162 | − | 0.212185i | 0.00539343 | − | 0.00742343i | ||||
\(818\) | − | 2.14294i | − | 0.0749261i | ||||||
\(819\) | 0.537536 | + | 0.390543i | 0.0187830 | + | 0.0136467i | ||||
\(820\) | 6.69115 | − | 2.09227i | 0.233665 | − | 0.0730654i | ||||
\(821\) | 7.03501 | − | 5.11124i | 0.245524 | − | 0.178383i | −0.458217 | − | 0.888840i | \(-0.651512\pi\) |
0.703741 | + | 0.710457i | \(0.251512\pi\) | |||||||
\(822\) | −17.6881 | − | 24.3455i | −0.616942 | − | 0.849148i | ||||
\(823\) | 35.6638 | − | 11.5879i | 1.24316 | − | 0.403928i | 0.387696 | − | 0.921787i | \(-0.373271\pi\) |
0.855466 | + | 0.517859i | \(0.173271\pi\) | |||||||
\(824\) | −7.78096 | −0.271063 | ||||||||
\(825\) | −45.5140 | + | 59.8066i | −1.58459 | + | 2.08220i | ||||
\(826\) | −3.57782 | −0.124488 | ||||||||
\(827\) | −33.5736 | + | 10.9087i | −1.16747 | + | 0.379333i | −0.827697 | − | 0.561175i | \(-0.810349\pi\) |
−0.339771 | + | 0.940508i | \(0.610349\pi\) | |||||||
\(828\) | 10.6358 | + | 14.6389i | 0.369619 | + | 0.508737i | ||||
\(829\) | −11.9932 | + | 8.71354i | −0.416539 | + | 0.302634i | −0.776244 | − | 0.630433i | \(-0.782878\pi\) |
0.359704 | + | 0.933066i | \(0.382878\pi\) | |||||||
\(830\) | −17.0531 | − | 5.75089i | −0.591921 | − | 0.199616i | ||||
\(831\) | 6.09983 | + | 4.43179i | 0.211601 | + | 0.153737i | ||||
\(832\) | 0.236248i | 0.00819044i | ||||||||
\(833\) | 2.50709 | − | 3.45072i | 0.0868657 | − | 0.119560i | ||||
\(834\) | −17.1269 | + | 52.7112i | −0.593056 | + | 1.82524i | ||||
\(835\) | 41.2296 | + | 30.6599i | 1.42681 | + | 1.06103i | ||||
\(836\) | 0.0642635 | + | 0.197783i | 0.00222260 | + | 0.00684046i | ||||
\(837\) | −0.390559 | − | 0.126900i | −0.0134997 | − | 0.00438631i | ||||
\(838\) | 9.93673 | + | 3.22864i | 0.343258 | + | 0.111531i | ||||
\(839\) | −10.7899 | − | 33.2079i | −0.372509 | − | 1.14647i | −0.945144 | − | 0.326655i | \(-0.894079\pi\) |
0.572635 | − | 0.819811i | \(-0.305921\pi\) | |||||||
\(840\) | −5.39060 | − | 0.0598307i | −0.185993 | − | 0.00206435i | ||||
\(841\) | 8.52755 | − | 26.2451i | 0.294054 | − | 0.905004i | ||||
\(842\) | 3.38583 | − | 4.66019i | 0.116683 | − | 0.160601i | ||||
\(843\) | − | 62.4307i | − | 2.15023i | ||||||
\(844\) | 3.38366 | + | 2.45838i | 0.116471 | + | 0.0846208i | ||||
\(845\) | 17.2717 | − | 23.2260i | 0.594166 | − | 0.798999i | ||||
\(846\) | −11.0101 | + | 7.99928i | −0.378534 | + | 0.275021i | ||||
\(847\) | −16.3821 | − | 22.5480i | −0.562896 | − | 0.774759i | ||||
\(848\) | −0.103622 | + | 0.0336688i | −0.00355839 | + | 0.00115619i | ||||
\(849\) | −61.2621 | −2.10251 | ||||||||
\(850\) | 7.03885 | − | 20.1315i | 0.241431 | − | 0.690506i | ||||
\(851\) | −35.3569 | −1.21202 | ||||||||
\(852\) | −6.15643 | + | 2.00034i | −0.210916 | + | 0.0685307i | ||||
\(853\) | 24.4875 | + | 33.7041i | 0.838435 | + | 1.15401i | 0.986294 | + | 0.164998i | \(0.0527618\pi\) |
−0.147859 | + | 0.989008i | \(0.547238\pi\) | |||||||
\(854\) | 10.5493 | − | 7.66451i | 0.360989 | − | 0.262274i | ||||
\(855\) | 0.121407 | + | 0.171063i | 0.00415202 | + | 0.00585022i | ||||
\(856\) | 2.23054 | + | 1.62058i | 0.0762383 | + | 0.0553904i | ||||
\(857\) | − | 42.0520i | − | 1.43647i | −0.695801 | − | 0.718234i | \(-0.744951\pi\) | ||
0.695801 | − | 0.718234i | \(-0.255049\pi\) | |||||||
\(858\) | −2.08727 | + | 2.87288i | −0.0712582 | + | 0.0980785i | ||||
\(859\) | 5.03513 | − | 15.4965i | 0.171796 | − | 0.528735i | −0.827676 | − | 0.561206i | \(-0.810338\pi\) |
0.999473 | + | 0.0324711i | \(0.0103377\pi\) | |||||||
\(860\) | −14.3381 | + | 10.1760i | −0.488925 | + | 0.347000i | ||||
\(861\) | 2.33579 | + | 7.18882i | 0.0796035 | + | 0.244994i | ||||
\(862\) | −19.6989 | − | 6.40057i | −0.670948 | − | 0.218004i | ||||
\(863\) | 37.3515 | + | 12.1362i | 1.27146 | + | 0.413123i | 0.865565 | − | 0.500797i | \(-0.166960\pi\) |
0.405896 | + | 0.913919i | \(0.366960\pi\) | |||||||
\(864\) | −0.139745 | − | 0.430090i | −0.00475421 | − | 0.0146320i | ||||
\(865\) | 6.40482 | + | 20.4828i | 0.217771 | + | 0.696436i | ||||
\(866\) | 3.27577 | − | 10.0818i | 0.111315 | − | 0.342593i | ||||
\(867\) | 1.69057 | − | 2.32687i | 0.0574147 | − | 0.0790245i | ||||
\(868\) | − | 0.908085i | − | 0.0308224i | ||||||
\(869\) | 63.7872 | + | 46.3441i | 2.16383 | + | 1.57212i | ||||
\(870\) | −0.450107 | + | 40.5535i | −0.0152601 | + | 1.37489i | ||||
\(871\) | −1.47279 | + | 1.07005i | −0.0499037 | + | 0.0362572i | ||||
\(872\) | 7.32040 | + | 10.0757i | 0.247900 | + | 0.341205i | ||||
\(873\) | 47.6231 | − | 15.4737i | 1.61180 | − | 0.523705i | ||||
\(874\) | −0.214605 | −0.00725912 | ||||||||
\(875\) | 11.1741 | + | 0.372190i | 0.377755 | + | 0.0125823i | ||||
\(876\) | −22.7530 | −0.768752 | ||||||||
\(877\) | −16.0294 | + | 5.20828i | −0.541276 | + | 0.175871i | −0.566879 | − | 0.823801i | \(-0.691849\pi\) |
0.0256033 | + | 0.999672i | \(0.491849\pi\) | |||||||
\(878\) | −3.21736 | − | 4.42832i | −0.108581 | − | 0.149449i | ||||
\(879\) | −26.4134 | + | 19.1905i | −0.890902 | + | 0.647279i | ||||
\(880\) | 0.154724 | − | 13.9402i | 0.00521574 | − | 0.469926i | ||||
\(881\) | 2.25800 | + | 1.64053i | 0.0760739 | + | 0.0552709i | 0.625172 | − | 0.780487i | \(-0.285029\pi\) |
−0.549098 | + | 0.835758i | \(0.685029\pi\) | |||||||
\(882\) | − | 2.81243i | − | 0.0946993i | ||||||
\(883\) | −6.21036 | + | 8.54783i | −0.208995 | + | 0.287657i | −0.900627 | − | 0.434593i | \(-0.856892\pi\) |
0.691632 | + | 0.722250i | \(0.256892\pi\) | |||||||
\(884\) | 0.311389 | − | 0.958357i | 0.0104731 | − | 0.0322330i | ||||
\(885\) | −5.75630 | − | 18.4088i | −0.193496 | − | 0.618805i | ||||
\(886\) | 1.64057 | + | 5.04914i | 0.0551159 | + | 0.169629i | ||||
\(887\) | 3.35069 | + | 1.08871i | 0.112505 | + | 0.0365552i | 0.364729 | − | 0.931114i | \(-0.381162\pi\) |
−0.252223 | + | 0.967669i | \(0.581162\pi\) | |||||||
\(888\) | −12.6005 | − | 4.09416i | −0.422846 | − | 0.137391i | ||||
\(889\) | 6.03219 | + | 18.5652i | 0.202313 | + | 0.622656i | ||||
\(890\) | 3.23559 | − | 2.29636i | 0.108457 | − | 0.0769743i | ||||
\(891\) | 18.3559 | − | 56.4936i | 0.614945 | − | 1.89261i | ||||
\(892\) | −10.8875 | + | 14.9853i | −0.364539 | + | 0.501745i | ||||
\(893\) | − | 0.161407i | − | 0.00540126i | ||||||
\(894\) | 39.4559 | + | 28.6664i | 1.31960 | + | 0.958746i | ||||
\(895\) | −1.65711 | − | 2.33488i | −0.0553912 | − | 0.0780466i | ||||
\(896\) | 0.809017 | − | 0.587785i | 0.0270274 | − | 0.0196365i | ||||
\(897\) | −2.15395 | − | 2.96466i | −0.0719184 | − | 0.0989872i | ||||
\(898\) | −8.86505 | + | 2.88043i | −0.295830 | + | 0.0961211i | ||||
\(899\) | −6.83154 | −0.227845 | ||||||||
\(900\) | −4.04753 | − | 13.4670i | −0.134918 | − | 0.448901i | ||||
\(901\) | 0.464726 | 0.0154823 | ||||||||
\(902\) | −18.5905 | + | 6.04042i | −0.618996 | + | 0.201124i | ||||
\(903\) | −11.1426 | − | 15.3364i | −0.370801 | − | 0.510364i | ||||
\(904\) | 2.56333 | − | 1.86237i | 0.0852552 | − | 0.0619415i | ||||
\(905\) | −7.84487 | + | 10.5493i | −0.260772 | + | 0.350671i | ||||
\(906\) | −43.1260 | − | 31.3329i | −1.43276 | − | 1.04096i | ||||
\(907\) | − | 3.02599i | − | 0.100476i | −0.998737 | − | 0.0502382i | \(-0.984002\pi\) | ||
0.998737 | − | 0.0502382i | \(-0.0159980\pi\) | |||||||
\(908\) | −5.03145 | + | 6.92520i | −0.166975 | + | 0.229821i | ||||
\(909\) | 9.40628 | − | 28.9496i | 0.311987 | − | 0.960196i | ||||
\(910\) | 0.528235 | + | 0.00586292i | 0.0175108 | + | 0.000194354i | ||||
\(911\) | 3.55485 | + | 10.9407i | 0.117777 | + | 0.362482i | 0.992516 | − | 0.122113i | \(-0.0389671\pi\) |
−0.874739 | + | 0.484595i | \(0.838967\pi\) | |||||||
\(912\) | −0.0764813 | − | 0.0248503i | −0.00253255 | − | 0.000822875i | ||||
\(913\) | 47.7228 | + | 15.5061i | 1.57939 | + | 0.513176i | ||||
\(914\) | 7.57466 | + | 23.3124i | 0.250547 | + | 0.771105i | ||||
\(915\) | 56.4084 | + | 41.9474i | 1.86480 | + | 1.38674i | ||||
\(916\) | −4.28191 | + | 13.1784i | −0.141478 | + | 0.435426i | ||||
\(917\) | −5.53859 | + | 7.62322i | −0.182900 | + | 0.251741i | ||||
\(918\) | 1.92888i | 0.0636625i | ||||||||
\(919\) | −9.35768 | − | 6.79876i | −0.308681 | − | 0.224270i | 0.422649 | − | 0.906293i | \(-0.361100\pi\) |
−0.731331 | + | 0.682023i | \(0.761100\pi\) | |||||||
\(920\) | 13.6322 | + | 4.59725i | 0.449440 | + | 0.151567i | ||||
\(921\) | −6.49269 | + | 4.71722i | −0.213941 | + | 0.155438i | ||||
\(922\) | −2.11025 | − | 2.90451i | −0.0694974 | − | 0.0956550i | ||||
\(923\) | 0.603280 | − | 0.196018i | 0.0198572 | − | 0.00645200i | ||||
\(924\) | 15.0311 | 0.494487 | ||||||||
\(925\) | 25.9376 | + | 9.06888i | 0.852822 | + | 0.298183i | ||||
\(926\) | −3.30222 | −0.108518 | ||||||||
\(927\) | 20.8123 | − | 6.76233i | 0.683566 | − | 0.222104i | ||||
\(928\) | −4.42192 | − | 6.08625i | −0.145157 | − | 0.199791i | ||||
\(929\) | −5.03456 | + | 3.65782i | −0.165179 | + | 0.120009i | −0.667304 | − | 0.744786i | \(-0.732552\pi\) |
0.502125 | + | 0.864795i | \(0.332552\pi\) | |||||||
\(930\) | 4.67233 | − | 1.46100i | 0.153212 | − | 0.0479082i | ||||
\(931\) | 0.0269853 | + | 0.0196060i | 0.000884408 | + | 0.000642560i | ||||
\(932\) | 0.765148i | 0.0250633i | ||||||||
\(933\) | 2.78897 | − | 3.83868i | 0.0913067 | − | 0.125673i | ||||
\(934\) | −11.9948 | + | 36.9161i | −0.392481 | + | 1.20793i | ||||
\(935\) | −19.0017 | + | 56.3456i | −0.621422 | + | 1.84270i | ||||
\(936\) | −0.205320 | − | 0.631911i | −0.00671111 | − | 0.0206547i | ||||
\(937\) | −21.8238 | − | 7.09098i | −0.712952 | − | 0.231652i | −0.0699875 | − | 0.997548i | \(-0.522296\pi\) |
−0.642965 | + | 0.765896i | \(0.722296\pi\) | |||||||
\(938\) | 7.32861 | + | 2.38121i | 0.239288 | + | 0.0777493i | ||||
\(939\) | −1.76832 | − | 5.44231i | −0.0577068 | − | 0.177603i | ||||
\(940\) | −3.45764 | + | 10.2529i | −0.112776 | + | 0.334413i | ||||
\(941\) | −8.36353 | + | 25.7403i | −0.272643 | + | 0.839110i | 0.717190 | + | 0.696878i | \(0.245428\pi\) |
−0.989833 | + | 0.142232i | \(0.954572\pi\) | |||||||
\(942\) | 4.27398 | − | 5.88262i | 0.139254 | − | 0.191666i | ||||
\(943\) | − | 20.1717i | − | 0.656881i | ||||||
\(944\) | 2.89452 | + | 2.10299i | 0.0942086 | + | 0.0684466i | ||||
\(945\) | −0.965120 | + | 0.301786i | −0.0313954 | + | 0.00981710i | ||||
\(946\) | 39.6605 | − | 28.8150i | 1.28947 | − | 0.936857i | ||||
\(947\) | −2.07926 | − | 2.86185i | −0.0675668 | − | 0.0929977i | 0.773896 | − | 0.633312i | \(-0.218305\pi\) |
−0.841463 | + | 0.540315i | \(0.818305\pi\) | |||||||
\(948\) | −28.9967 | + | 9.42160i | −0.941769 | + | 0.305999i | ||||
\(949\) | 2.22961 | 0.0723761 | ||||||||
\(950\) | 0.157433 | + | 0.0550452i | 0.00510779 | + | 0.00178590i | ||||
\(951\) | 64.9454 | 2.10600 | ||||||||
\(952\) | −4.05656 | + | 1.31806i | −0.131474 | + | 0.0427185i | ||||
\(953\) | −12.3401 | − | 16.9847i | −0.399734 | − | 0.550187i | 0.560943 | − | 0.827854i | \(-0.310439\pi\) |
−0.960677 | + | 0.277667i | \(0.910439\pi\) | |||||||
\(954\) | 0.247904 | − | 0.180113i | 0.00802619 | − | 0.00583137i | ||||
\(955\) | 30.5642 | + | 10.3073i | 0.989034 | + | 0.333537i | ||||
\(956\) | 5.22274 | + | 3.79454i | 0.168916 | + | 0.122724i | ||||
\(957\) | − | 113.079i | − | 3.65533i | ||||||
\(958\) | 9.05879 | − | 12.4684i | 0.292676 | − | 0.402834i | ||||
\(959\) | 3.85714 | − | 11.8711i | 0.124554 | − | 0.383336i | ||||
\(960\) | 4.32592 | + | 3.21692i | 0.139618 | + | 0.103826i | ||||
\(961\) | −9.32471 | − | 28.6985i | −0.300797 | − | 0.925758i | ||||
\(962\) | 1.23475 | + | 0.401195i | 0.0398100 | + | 0.0129350i | ||||
\(963\) | −7.37462 | − | 2.39616i | −0.237644 | − | 0.0772152i | ||||
\(964\) | 6.53076 | + | 20.0996i | 0.210342 | + | 0.647365i | ||||
\(965\) | −35.3802 | − | 0.392687i | −1.13893 | − | 0.0126410i | ||||
\(966\) | −4.79326 | + | 14.7521i | −0.154221 | + | 0.474642i | ||||
\(967\) | 6.73397 | − | 9.26852i | 0.216550 | − | 0.298056i | −0.686897 | − | 0.726754i | \(-0.741028\pi\) |
0.903447 | + | 0.428699i | \(0.141028\pi\) | |||||||
\(968\) | 27.8709i | 0.895804i | ||||||||
\(969\) | 0.277497 | + | 0.201613i | 0.00891449 | + | 0.00647675i | ||||
\(970\) | 23.7570 | − | 31.9470i | 0.762792 | − | 1.02576i | ||||
\(971\) | 27.6167 | − | 20.0647i | 0.886262 | − | 0.643907i | −0.0486383 | − | 0.998816i | \(-0.515488\pi\) |
0.934901 | + | 0.354909i | \(0.115488\pi\) | |||||||
\(972\) | 12.7039 | + | 17.4855i | 0.407479 | + | 0.560847i | ||||
\(973\) | −21.8637 | + | 7.10395i | −0.700918 | + | 0.227742i | ||||
\(974\) | 18.2935 | 0.586161 | ||||||||
\(975\) | 0.819703 | + | 2.72733i | 0.0262515 | + | 0.0873446i | ||||
\(976\) | −13.0396 | −0.417389 | ||||||||
\(977\) | −42.3086 | + | 13.7469i | −1.35357 | + | 0.439802i | −0.893892 | − | 0.448283i | \(-0.852036\pi\) |
−0.459680 | + | 0.888085i | \(0.652036\pi\) | |||||||
\(978\) | 10.5529 | + | 14.5249i | 0.337446 | + | 0.464454i | ||||
\(979\) | −8.94992 | + | 6.50250i | −0.286041 | + | 0.207821i | ||||
\(980\) | −1.29417 | − | 1.82349i | −0.0413407 | − | 0.0582493i | ||||
\(981\) | −28.3371 | − | 20.5881i | −0.904733 | − | 0.657327i | ||||
\(982\) | 14.0070i | 0.446983i | ||||||||
\(983\) | 23.5032 | − | 32.3494i | 0.749636 | − | 1.03178i | −0.248370 | − | 0.968665i | \(-0.579895\pi\) |
0.998006 | − | 0.0631198i | \(-0.0201050\pi\) | |||||||
\(984\) | 2.33579 | − | 7.18882i | 0.0744622 | − | 0.229171i | ||||
\(985\) | −48.0739 | + | 34.1190i | −1.53176 | + | 1.08712i | ||||
\(986\) | 9.91577 | + | 30.5176i | 0.315782 | + | 0.971878i | ||||
\(987\) | −11.0952 | − | 3.60506i | −0.353165 | − | 0.114750i | ||||
\(988\) | 0.00749454 | + | 0.00243512i | 0.000238433 | + | 7.74716e-5i | ||||
\(989\) | 15.6329 | + | 48.1132i | 0.497098 | + | 1.52991i | ||||
\(990\) | 11.7014 | + | 37.4215i | 0.371896 | + | 1.18933i | ||||
\(991\) | −16.7228 | + | 51.4673i | −0.531216 | + | 1.63491i | 0.220471 | + | 0.975394i | \(0.429241\pi\) |
−0.751687 | + | 0.659520i | \(0.770759\pi\) | |||||||
\(992\) | −0.533759 | + | 0.734656i | −0.0169469 | + | 0.0233254i | ||||
\(993\) | 43.9128i | 1.39353i | ||||||||
\(994\) | −2.17221 | − | 1.57820i | −0.0688983 | − | 0.0500575i | ||||
\(995\) | −0.217769 | + | 19.6204i | −0.00690374 | + | 0.622010i | ||||
\(996\) | −15.6980 | + | 11.4052i | −0.497409 | + | 0.361389i | ||||
\(997\) | −9.37117 | − | 12.8983i | −0.296788 | − | 0.408494i | 0.634416 | − | 0.772992i | \(-0.281241\pi\) |
−0.931204 | + | 0.364498i | \(0.881241\pi\) | |||||||
\(998\) | 7.73915 | − | 2.51460i | 0.244978 | − | 0.0795983i | ||||
\(999\) | −2.48518 | −0.0786275 |
(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 | 350.2.m.a.169.6 | yes | 24 | |
25.2 | odd | 20 | 8750.2.a.bb.1.2 | 12 | |||
25.4 | even | 10 | inner | 350.2.m.a.29.6 | ✓ | 24 | |
25.23 | odd | 20 | 8750.2.a.z.1.11 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.m.a.29.6 | ✓ | 24 | 25.4 | even | 10 | inner | |
350.2.m.a.169.6 | yes | 24 | 1.1 | even | 1 | trivial | |
8750.2.a.z.1.11 | 12 | 25.23 | odd | 20 | |||
8750.2.a.bb.1.2 | 12 | 25.2 | odd | 20 |