Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(11,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.g (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: | \(0.762944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} - 116 x^{3} + 60 x^{2} - 20 x + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Root | \(2.79733 - 1.03769i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.11 |
Dual form | 28.3.g.a.23.3 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.371518 | − | 1.96519i | −0.185759 | − | 0.982595i | ||||
\(3\) | 3.95004 | + | 2.28056i | 1.31668 | + | 0.760186i | 0.983193 | − | 0.182569i | \(-0.0584413\pi\) |
0.333487 | + | 0.942755i | \(0.391775\pi\) | |||||||
\(4\) | −3.72395 | + | 1.46021i | −0.930987 | + | 0.365052i | ||||
\(5\) | −2.62655 | − | 4.54932i | −0.525310 | − | 0.909864i | −0.999565 | − | 0.0294768i | \(-0.990616\pi\) |
0.474255 | − | 0.880388i | \(-0.342717\pi\) | |||||||
\(6\) | 3.01422 | − | 8.60985i | 0.502369 | − | 1.43498i | ||||
\(7\) | −5.86799 | + | 3.81663i | −0.838285 | + | 0.545233i | ||||
\(8\) | 4.25310 | + | 6.77577i | 0.531638 | + | 0.846972i | ||||
\(9\) | 5.90188 | + | 10.2224i | 0.655765 | + | 1.13582i | ||||
\(10\) | −7.96447 | + | 6.85183i | −0.796447 | + | 0.685183i | ||||
\(11\) | 1.91795 | + | 1.10733i | 0.174359 | + | 0.100666i | 0.584640 | − | 0.811293i | \(-0.301236\pi\) |
−0.410281 | + | 0.911959i | \(0.634569\pi\) | |||||||
\(12\) | −18.0398 | − | 2.72479i | −1.50332 | − | 0.227066i | ||||
\(13\) | −3.29755 | −0.253658 | −0.126829 | − | 0.991925i | \(-0.540480\pi\) | ||||
−0.126829 | + | 0.991925i | \(0.540480\pi\) | |||||||
\(14\) | 9.68047 | + | 10.1138i | 0.691462 | + | 0.722412i | ||||
\(15\) | − | 23.9600i | − | 1.59733i | ||||||
\(16\) | 11.7356 | − | 10.8755i | 0.733474 | − | 0.679718i | ||||
\(17\) | 6.69943 | − | 11.6038i | 0.394084 | − | 0.682574i | −0.598900 | − | 0.800824i | \(-0.704395\pi\) |
0.992984 | + | 0.118250i | \(0.0377285\pi\) | |||||||
\(18\) | 17.8962 | − | 15.3961i | 0.994235 | − | 0.855340i | ||||
\(19\) | −6.72474 | + | 3.88253i | −0.353934 | + | 0.204344i | −0.666416 | − | 0.745580i | \(-0.732173\pi\) |
0.312483 | + | 0.949923i | \(0.398839\pi\) | |||||||
\(20\) | 16.4241 | + | 13.1061i | 0.821205 | + | 0.655306i | ||||
\(21\) | −31.8829 | + | 1.69356i | −1.51823 | + | 0.0806456i | ||||
\(22\) | 1.46356 | − | 4.18053i | 0.0665254 | − | 0.190024i | ||||
\(23\) | 3.66033 | − | 2.11329i | 0.159145 | − | 0.0918823i | −0.418313 | − | 0.908303i | \(-0.637378\pi\) |
0.577457 | + | 0.816421i | \(0.304045\pi\) | |||||||
\(24\) | 1.34740 | + | 36.4640i | 0.0561416 | + | 1.51933i | ||||
\(25\) | −1.29755 | + | 2.24743i | −0.0519021 | + | 0.0898971i | ||||
\(26\) | 1.22510 | + | 6.48032i | 0.0471193 | + | 0.249243i | ||||
\(27\) | 12.7883i | 0.473640i | ||||||||
\(28\) | 16.2790 | − | 22.7814i | 0.581394 | − | 0.813623i | ||||
\(29\) | 39.4113 | 1.35901 | 0.679505 | − | 0.733671i | \(-0.262195\pi\) | ||||
0.679505 | + | 0.733671i | \(0.262195\pi\) | |||||||
\(30\) | −47.0860 | + | 8.90158i | −1.56953 | + | 0.296719i | ||||
\(31\) | −17.2001 | − | 9.93050i | −0.554843 | − | 0.320339i | 0.196230 | − | 0.980558i | \(-0.437130\pi\) |
−0.751073 | + | 0.660219i | \(0.770463\pi\) | |||||||
\(32\) | −25.7324 | − | 19.0222i | −0.804137 | − | 0.594444i | ||||
\(33\) | 5.05066 | + | 8.74799i | 0.153050 | + | 0.265091i | ||||
\(34\) | −25.2926 | − | 8.85465i | −0.743899 | − | 0.260431i | ||||
\(35\) | 32.7757 | + | 16.6708i | 0.936448 | + | 0.476309i | ||||
\(36\) | −36.9051 | − | 29.4495i | −1.02514 | − | 0.818043i | ||||
\(37\) | 12.8704 | + | 22.2922i | 0.347850 | + | 0.602493i | 0.985867 | − | 0.167529i | \(-0.0535787\pi\) |
−0.638018 | + | 0.770022i | \(0.720245\pi\) | |||||||
\(38\) | 10.1283 | + | 11.7730i | 0.266533 | + | 0.309815i | ||||
\(39\) | −13.0255 | − | 7.52026i | −0.333986 | − | 0.192827i | ||||
\(40\) | 19.6542 | − | 37.1457i | 0.491354 | − | 0.928642i | ||||
\(41\) | −55.0188 | −1.34192 | −0.670961 | − | 0.741493i | \(-0.734118\pi\) | ||||
−0.670961 | + | 0.741493i | \(0.734118\pi\) | |||||||
\(42\) | 15.1732 | + | 62.0267i | 0.361267 | + | 1.47683i | ||||
\(43\) | 78.2646i | 1.82011i | 0.414490 | + | 0.910054i | \(0.363960\pi\) | ||||
−0.414490 | + | 0.910054i | \(0.636040\pi\) | |||||||
\(44\) | −8.75928 | − | 1.32303i | −0.199075 | − | 0.0300688i | ||||
\(45\) | 31.0032 | − | 53.6991i | 0.688960 | − | 1.19331i | ||||
\(46\) | −5.51290 | − | 6.40812i | −0.119846 | − | 0.139307i | ||||
\(47\) | 18.3993 | − | 10.6228i | 0.391474 | − | 0.226018i | −0.291324 | − | 0.956624i | \(-0.594096\pi\) |
0.682799 | + | 0.730607i | \(0.260763\pi\) | |||||||
\(48\) | 71.1582 | − | 16.1950i | 1.48246 | − | 0.337395i | ||||
\(49\) | 19.8667 | − | 44.7919i | 0.405442 | − | 0.914121i | ||||
\(50\) | 4.89869 | + | 1.71498i | 0.0979737 | + | 0.0342995i | ||||
\(51\) | 52.9261 | − | 30.5569i | 1.03777 | − | 0.599154i | ||||
\(52\) | 12.2799 | − | 4.81512i | 0.236152 | − | 0.0925984i | ||||
\(53\) | −24.0346 | + | 41.6292i | −0.453484 | + | 0.785457i | −0.998600 | − | 0.0529038i | \(-0.983152\pi\) |
0.545116 | + | 0.838361i | \(0.316486\pi\) | |||||||
\(54\) | 25.1314 | − | 4.75108i | 0.465396 | − | 0.0879829i | ||||
\(55\) | − | 11.6338i | − | 0.211524i | ||||||
\(56\) | −50.8178 | − | 23.5277i | −0.907461 | − | 0.420137i | ||||
\(57\) | −35.4173 | −0.621356 | ||||||||
\(58\) | −14.6420 | − | 77.4507i | −0.252449 | − | 1.33536i | ||||
\(59\) | −66.7995 | − | 38.5667i | −1.13220 | − | 0.653673i | −0.187710 | − | 0.982225i | \(-0.560106\pi\) |
−0.944486 | + | 0.328551i | \(0.893440\pi\) | |||||||
\(60\) | 34.9866 | + | 89.2258i | 0.583110 | + | 1.48710i | ||||
\(61\) | 23.7371 | + | 41.1138i | 0.389133 | + | 0.673997i | 0.992333 | − | 0.123592i | \(-0.0394415\pi\) |
−0.603200 | + | 0.797590i | \(0.706108\pi\) | |||||||
\(62\) | −13.1252 | + | 37.4909i | −0.211696 | + | 0.604692i | ||||
\(63\) | −73.6472 | − | 37.4594i | −1.16900 | − | 0.594594i | ||||
\(64\) | −27.8222 | + | 57.6361i | −0.434722 | + | 0.900565i | ||||
\(65\) | 8.66119 | + | 15.0016i | 0.133249 | + | 0.230794i | ||||
\(66\) | 15.3151 | − | 13.1755i | 0.232046 | − | 0.199629i | ||||
\(67\) | 45.2217 | + | 26.1088i | 0.674951 | + | 0.389683i | 0.797950 | − | 0.602724i | \(-0.205918\pi\) |
−0.122999 | + | 0.992407i | \(0.539251\pi\) | |||||||
\(68\) | −8.00443 | + | 52.9944i | −0.117712 | + | 0.779329i | ||||
\(69\) | 19.2779 | 0.279390 | ||||||||
\(70\) | 20.5845 | − | 70.6039i | 0.294065 | − | 1.00863i | ||||
\(71\) | − | 90.1012i | − | 1.26903i | −0.772910 | − | 0.634515i | \(-0.781200\pi\) | ||
0.772910 | − | 0.634515i | \(-0.218800\pi\) | |||||||
\(72\) | −44.1631 | + | 83.4666i | −0.613376 | + | 1.15926i | ||||
\(73\) | −20.7976 | + | 36.0224i | −0.284898 | + | 0.493458i | −0.972584 | − | 0.232550i | \(-0.925293\pi\) |
0.687686 | + | 0.726008i | \(0.258626\pi\) | |||||||
\(74\) | 39.0269 | − | 33.5748i | 0.527391 | − | 0.453714i | ||||
\(75\) | −10.2508 | + | 5.91828i | −0.136677 | + | 0.0789105i | ||||
\(76\) | 19.3733 | − | 24.2779i | 0.254911 | − | 0.319445i | ||||
\(77\) | −15.4808 | + | 0.822311i | −0.201049 | + | 0.0106794i | ||||
\(78\) | −9.93954 | + | 28.3914i | −0.127430 | + | 0.363993i | ||||
\(79\) | −114.033 | + | 65.8371i | −1.44346 | + | 0.833381i | −0.998079 | − | 0.0619609i | \(-0.980265\pi\) |
−0.445380 | + | 0.895342i | \(0.646931\pi\) | |||||||
\(80\) | −80.3002 | − | 24.8239i | −1.00375 | − | 0.310299i | ||||
\(81\) | 23.9525 | − | 41.4870i | 0.295710 | − | 0.512185i | ||||
\(82\) | 20.4405 | + | 108.122i | 0.249274 | + | 1.31857i | ||||
\(83\) | − | 11.8366i | − | 0.142609i | −0.997455 | − | 0.0713046i | \(-0.977284\pi\) | ||
0.997455 | − | 0.0713046i | \(-0.0227162\pi\) | |||||||
\(84\) | 116.257 | − | 52.8623i | 1.38401 | − | 0.629314i | ||||
\(85\) | −70.3856 | −0.828066 | ||||||||
\(86\) | 153.805 | − | 29.0768i | 1.78843 | − | 0.338102i | ||||
\(87\) | 155.676 | + | 89.8797i | 1.78938 | + | 1.03310i | ||||
\(88\) | 0.654232 | + | 17.7052i | 0.00743445 | + | 0.201195i | ||||
\(89\) | −15.5569 | − | 26.9453i | −0.174796 | − | 0.302756i | 0.765295 | − | 0.643680i | \(-0.222593\pi\) |
−0.940091 | + | 0.340924i | \(0.889260\pi\) | |||||||
\(90\) | −117.047 | − | 40.9770i | −1.30052 | − | 0.455300i | ||||
\(91\) | 19.3500 | − | 12.5855i | 0.212637 | − | 0.138303i | ||||
\(92\) | −10.5450 | + | 13.2146i | −0.114620 | + | 0.143637i | ||||
\(93\) | −45.2941 | − | 78.4517i | −0.487034 | − | 0.843567i | ||||
\(94\) | −27.7116 | − | 32.2115i | −0.294804 | − | 0.342676i | ||||
\(95\) | 35.3257 | + | 20.3953i | 0.371850 | + | 0.214688i | ||||
\(96\) | −58.2627 | − | 133.823i | −0.606904 | − | 1.39399i | ||||
\(97\) | 140.501 | 1.44846 | 0.724230 | − | 0.689559i | \(-0.242196\pi\) | ||||
0.724230 | + | 0.689559i | \(0.242196\pi\) | |||||||
\(98\) | −95.4055 | − | 22.4007i | −0.973525 | − | 0.228579i | ||||
\(99\) | 26.1413i | 0.264054i | ||||||||
\(100\) | 1.55031 | − | 10.2640i | 0.0155031 | − | 0.102640i | ||||
\(101\) | 21.1388 | − | 36.6135i | 0.209295 | − | 0.362509i | −0.742198 | − | 0.670181i | \(-0.766216\pi\) |
0.951493 | + | 0.307672i | \(0.0995498\pi\) | |||||||
\(102\) | −79.7131 | − | 92.6574i | −0.781501 | − | 0.908406i | ||||
\(103\) | 83.8778 | − | 48.4268i | 0.814347 | − | 0.470164i | −0.0341161 | − | 0.999418i | \(-0.510862\pi\) |
0.848463 | + | 0.529254i | \(0.177528\pi\) | |||||||
\(104\) | −14.0248 | − | 22.3435i | −0.134854 | − | 0.214841i | ||||
\(105\) | 91.4465 | + | 140.597i | 0.870919 | + | 1.33902i | ||||
\(106\) | 90.7387 | + | 31.7666i | 0.856025 | + | 0.299685i | ||||
\(107\) | −2.26178 | + | 1.30584i | −0.0211382 | + | 0.0122041i | −0.510532 | − | 0.859859i | \(-0.670551\pi\) |
0.489394 | + | 0.872063i | \(0.337218\pi\) | |||||||
\(108\) | −18.6736 | − | 47.6229i | −0.172903 | − | 0.440952i | ||||
\(109\) | −3.86724 | + | 6.69825i | −0.0354793 | + | 0.0614519i | −0.883220 | − | 0.468959i | \(-0.844629\pi\) |
0.847741 | + | 0.530411i | \(0.177962\pi\) | |||||||
\(110\) | −22.8627 | + | 4.32218i | −0.207843 | + | 0.0392926i | ||||
\(111\) | 117.407i | 1.05772i | ||||||||
\(112\) | −27.3566 | + | 108.608i | −0.244255 | + | 0.969711i | ||||
\(113\) | 34.5495 | 0.305748 | 0.152874 | − | 0.988246i | \(-0.451147\pi\) | ||||
0.152874 | + | 0.988246i | \(0.451147\pi\) | |||||||
\(114\) | 13.1582 | + | 69.6018i | 0.115423 | + | 0.610542i | ||||
\(115\) | −19.2281 | − | 11.1013i | −0.167201 | − | 0.0965335i | ||||
\(116\) | −146.766 | + | 57.5487i | −1.26522 | + | 0.496110i | ||||
\(117\) | −19.4618 | − | 33.7088i | −0.166340 | − | 0.288109i | ||||
\(118\) | −50.9737 | + | 145.602i | −0.431981 | + | 1.23392i | ||||
\(119\) | 4.97505 | + | 93.6600i | 0.0418071 | + | 0.787059i | ||||
\(120\) | 162.348 | − | 101.904i | 1.35290 | − | 0.849203i | ||||
\(121\) | −58.0476 | − | 100.541i | −0.479733 | − | 0.830921i | ||||
\(122\) | 71.9778 | − | 61.9225i | 0.589982 | − | 0.507561i | ||||
\(123\) | −217.327 | − | 125.474i | −1.76688 | − | 1.02011i | ||||
\(124\) | 78.5530 | + | 11.8649i | 0.633492 | + | 0.0956845i | ||||
\(125\) | −117.695 | −0.941562 | ||||||||
\(126\) | −46.2536 | + | 158.648i | −0.367092 | + | 1.25911i | ||||
\(127\) | − | 53.4789i | − | 0.421093i | −0.977584 | − | 0.210547i | \(-0.932476\pi\) | ||
0.977584 | − | 0.210547i | \(-0.0675244\pi\) | |||||||
\(128\) | 123.602 | + | 33.2631i | 0.965644 | + | 0.259868i | ||||
\(129\) | −178.487 | + | 309.148i | −1.38362 | + | 2.39650i | ||||
\(130\) | 26.2633 | − | 22.5943i | 0.202025 | − | 0.173802i | ||||
\(131\) | −112.200 | + | 64.7790i | −0.856492 | + | 0.494496i | −0.862836 | − | 0.505484i | \(-0.831314\pi\) |
0.00634380 | + | 0.999980i | \(0.497981\pi\) | |||||||
\(132\) | −31.5823 | − | 25.2021i | −0.239260 | − | 0.190925i | ||||
\(133\) | 24.6425 | − | 48.4485i | 0.185282 | − | 0.364274i | ||||
\(134\) | 34.5080 | − | 98.5692i | 0.257522 | − | 0.735591i | ||||
\(135\) | 58.1780 | − | 33.5891i | 0.430948 | − | 0.248808i | ||||
\(136\) | 107.118 | − | 3.95816i | 0.787631 | − | 0.0291041i | ||||
\(137\) | 81.4651 | − | 141.102i | 0.594636 | − | 1.02994i | −0.398962 | − | 0.916967i | \(-0.630630\pi\) |
0.993598 | − | 0.112972i | \(-0.0360372\pi\) | |||||||
\(138\) | −7.16211 | − | 37.8848i | −0.0518993 | − | 0.274528i | ||||
\(139\) | − | 249.241i | − | 1.79310i | −0.442941 | − | 0.896551i | \(-0.646065\pi\) | ||
0.442941 | − | 0.896551i | \(-0.353935\pi\) | |||||||
\(140\) | −146.398 | − | 14.2219i | −1.04570 | − | 0.101585i | ||||
\(141\) | 96.9039 | 0.687262 | ||||||||
\(142\) | −177.066 | + | 33.4743i | −1.24694 | + | 0.235734i | ||||
\(143\) | −6.32454 | − | 3.65148i | −0.0442276 | − | 0.0255348i | ||||
\(144\) | 180.435 | + | 55.7795i | 1.25302 | + | 0.387357i | ||||
\(145\) | −103.516 | − | 179.295i | −0.713902 | − | 1.23651i | ||||
\(146\) | 78.5176 | + | 27.4882i | 0.537792 | + | 0.188275i | ||||
\(147\) | 180.625 | − | 131.623i | 1.22874 | − | 0.895394i | ||||
\(148\) | −80.4802 | − | 64.2216i | −0.543785 | − | 0.433930i | ||||
\(149\) | 87.6130 | + | 151.750i | 0.588006 | + | 1.01846i | 0.994493 | + | 0.104800i | \(0.0334204\pi\) |
−0.406487 | + | 0.913657i | \(0.633246\pi\) | |||||||
\(150\) | 15.4389 | + | 17.9460i | 0.102926 | + | 0.119640i | ||||
\(151\) | 69.0086 | + | 39.8421i | 0.457011 | + | 0.263855i | 0.710787 | − | 0.703408i | \(-0.248339\pi\) |
−0.253776 | + | 0.967263i | \(0.581673\pi\) | |||||||
\(152\) | −54.9081 | − | 29.0525i | −0.361238 | − | 0.191135i | ||||
\(153\) | 158.157 | 1.03371 | ||||||||
\(154\) | 7.36740 | + | 30.1172i | 0.0478402 | + | 0.195566i | ||||
\(155\) | 104.332i | 0.673109i | ||||||||
\(156\) | 59.4873 | + | 8.98514i | 0.381329 | + | 0.0575971i | ||||
\(157\) | −53.6734 | + | 92.9650i | −0.341869 | + | 0.592134i | −0.984780 | − | 0.173807i | \(-0.944393\pi\) |
0.642911 | + | 0.765941i | \(0.277726\pi\) | |||||||
\(158\) | 171.748 | + | 199.637i | 1.08701 | + | 1.26353i | ||||
\(159\) | −189.876 | + | 109.625i | −1.19419 | + | 0.689464i | ||||
\(160\) | −18.9507 | + | 167.028i | −0.118442 | + | 1.04392i | ||||
\(161\) | −13.4131 | + | 26.3709i | −0.0833114 | + | 0.163795i | ||||
\(162\) | −90.4287 | − | 31.6581i | −0.558202 | − | 0.195420i | ||||
\(163\) | 72.7579 | − | 42.0068i | 0.446367 | − | 0.257710i | −0.259928 | − | 0.965628i | \(-0.583699\pi\) |
0.706295 | + | 0.707918i | \(0.250365\pi\) | |||||||
\(164\) | 204.887 | − | 80.3390i | 1.24931 | − | 0.489872i | ||||
\(165\) | 26.5316 | − | 45.9541i | 0.160798 | − | 0.278510i | ||||
\(166\) | −23.2611 | + | 4.39750i | −0.140127 | + | 0.0264910i | ||||
\(167\) | 6.08656i | 0.0364465i | 0.999834 | + | 0.0182232i | \(0.00580095\pi\) | ||||
−0.999834 | + | 0.0182232i | \(0.994199\pi\) | |||||||
\(168\) | −147.076 | − | 208.828i | −0.875454 | − | 1.24302i | ||||
\(169\) | −158.126 | −0.935658 | ||||||||
\(170\) | 26.1496 | + | 138.321i | 0.153821 | + | 0.813654i | ||||
\(171\) | −79.3772 | − | 45.8284i | −0.464194 | − | 0.268003i | ||||
\(172\) | −114.283 | − | 291.453i | −0.664434 | − | 1.69450i | ||||
\(173\) | 69.7755 | + | 120.855i | 0.403327 | + | 0.698582i | 0.994125 | − | 0.108237i | \(-0.0345205\pi\) |
−0.590798 | + | 0.806819i | \(0.701187\pi\) | |||||||
\(174\) | 118.794 | − | 339.325i | 0.682725 | − | 1.95015i | ||||
\(175\) | −0.963572 | − | 18.1402i | −0.00550612 | − | 0.103658i | ||||
\(176\) | 34.5510 | − | 7.86349i | 0.196313 | − | 0.0446789i | ||||
\(177\) | −175.907 | − | 304.680i | −0.993826 | − | 1.72136i | ||||
\(178\) | −47.1730 | + | 40.5829i | −0.265017 | + | 0.227994i | ||||
\(179\) | 134.840 | + | 77.8496i | 0.753293 | + | 0.434914i | 0.826883 | − | 0.562374i | \(-0.190112\pi\) |
−0.0735892 | + | 0.997289i | \(0.523445\pi\) | |||||||
\(180\) | −37.0424 | + | 245.244i | −0.205791 | + | 1.36247i | ||||
\(181\) | 97.1269 | 0.536613 | 0.268306 | − | 0.963334i | \(-0.413536\pi\) | ||||
0.268306 | + | 0.963334i | \(0.413536\pi\) | |||||||
\(182\) | −31.9219 | − | 33.3507i | −0.175395 | − | 0.183246i | ||||
\(183\) | 216.535i | 1.18325i | ||||||||
\(184\) | 29.8870 | + | 15.8135i | 0.162429 | + | 0.0859430i | ||||
\(185\) | 67.6097 | − | 117.103i | 0.365458 | − | 0.632992i | ||||
\(186\) | −137.345 | + | 118.158i | −0.738414 | + | 0.635257i | ||||
\(187\) | 25.6984 | − | 14.8370i | 0.137424 | − | 0.0793420i | ||||
\(188\) | −53.0064 | + | 66.4257i | −0.281949 | + | 0.353328i | ||||
\(189\) | −48.8081 | − | 75.0415i | −0.258244 | − | 0.397045i | ||||
\(190\) | 26.9565 | − | 76.9991i | 0.141877 | − | 0.405258i | ||||
\(191\) | −36.6730 | + | 21.1732i | −0.192005 | + | 0.110854i | −0.592921 | − | 0.805261i | \(-0.702025\pi\) |
0.400916 | + | 0.916115i | \(0.368692\pi\) | |||||||
\(192\) | −241.341 | + | 164.215i | −1.25699 | + | 0.855286i | ||||
\(193\) | −139.401 | + | 241.450i | −0.722287 | + | 1.25104i | 0.237794 | + | 0.971316i | \(0.423576\pi\) |
−0.960081 | + | 0.279722i | \(0.909758\pi\) | |||||||
\(194\) | −52.1985 | − | 276.110i | −0.269065 | − | 1.42325i | ||||
\(195\) | 79.0094i | 0.405176i | ||||||||
\(196\) | −8.57683 | + | 195.812i | −0.0437593 | + | 0.999042i | ||||
\(197\) | 63.5394 | 0.322535 | 0.161268 | − | 0.986911i | \(-0.448442\pi\) | ||||
0.161268 | + | 0.986911i | \(0.448442\pi\) | |||||||
\(198\) | 51.3727 | − | 9.71198i | 0.259458 | − | 0.0490504i | ||||
\(199\) | 116.351 | + | 67.1755i | 0.584680 | + | 0.337565i | 0.762991 | − | 0.646409i | \(-0.223730\pi\) |
−0.178311 | + | 0.983974i | \(0.557063\pi\) | |||||||
\(200\) | −20.7467 | + | 0.766619i | −0.103733 | + | 0.00383310i | ||||
\(201\) | 119.085 | + | 206.261i | 0.592463 | + | 1.02618i | ||||
\(202\) | −79.8059 | − | 27.9392i | −0.395079 | − | 0.138313i | ||||
\(203\) | −231.265 | + | 150.418i | −1.13924 | + | 0.740977i | ||||
\(204\) | −152.474 | + | 191.075i | −0.747424 | + | 0.936644i | ||||
\(205\) | 144.510 | + | 250.298i | 0.704926 | + | 1.22097i | ||||
\(206\) | −126.330 | − | 146.844i | −0.613253 | − | 0.712837i | ||||
\(207\) | 43.2057 | + | 24.9448i | 0.208723 | + | 0.120506i | ||||
\(208\) | −38.6987 | + | 35.8625i | −0.186051 | + | 0.172416i | ||||
\(209\) | −17.1970 | −0.0822821 | ||||||||
\(210\) | 242.326 | − | 231.944i | 1.15393 | − | 1.10450i | ||||
\(211\) | − | 239.385i | − | 1.13453i | −0.823536 | − | 0.567264i | \(-0.808002\pi\) | ||
0.823536 | − | 0.567264i | \(-0.191998\pi\) | |||||||
\(212\) | 28.7164 | − | 190.121i | 0.135455 | − | 0.896796i | ||||
\(213\) | 205.481 | − | 355.903i | 0.964699 | − | 1.67091i | ||||
\(214\) | 3.40652 | + | 3.95969i | 0.0159183 | + | 0.0185032i | ||||
\(215\) | 356.051 | − | 205.566i | 1.65605 | − | 0.956122i | ||||
\(216\) | −86.6504 | + | 54.3899i | −0.401159 | + | 0.251805i | ||||
\(217\) | 138.831 | − | 7.37446i | 0.639775 | − | 0.0339837i | ||||
\(218\) | 14.6001 | + | 5.11134i | 0.0669729 | + | 0.0234465i | ||||
\(219\) | −164.302 | + | 94.8600i | −0.750239 | + | 0.433151i | ||||
\(220\) | 16.9878 | + | 43.3238i | 0.0772174 | + | 0.196926i | ||||
\(221\) | −22.0917 | + | 38.2640i | −0.0999626 | + | 0.173140i | ||||
\(222\) | 230.727 | − | 43.6189i | 1.03931 | − | 0.196481i | ||||
\(223\) | − | 1.49794i | − | 0.00671723i | −0.999994 | − | 0.00335862i | \(-0.998931\pi\) | ||
0.999994 | − | 0.00335862i | \(-0.00106908\pi\) | |||||||
\(224\) | 223.598 | + | 13.4111i | 0.998206 | + | 0.0598711i | ||||
\(225\) | −30.6320 | −0.136142 | ||||||||
\(226\) | −12.8358 | − | 67.8963i | −0.0567954 | − | 0.300426i | ||||
\(227\) | −12.8691 | − | 7.42998i | −0.0566921 | − | 0.0327312i | 0.471386 | − | 0.881927i | \(-0.343754\pi\) |
−0.528078 | + | 0.849196i | \(0.677087\pi\) | |||||||
\(228\) | 131.892 | − | 51.7167i | 0.578475 | − | 0.226828i | ||||
\(229\) | −134.196 | − | 232.435i | −0.586010 | − | 1.01500i | −0.994749 | − | 0.102348i | \(-0.967364\pi\) |
0.408738 | − | 0.912652i | \(-0.365969\pi\) | |||||||
\(230\) | −14.6727 | + | 41.9112i | −0.0637942 | + | 0.182223i | ||||
\(231\) | −63.0251 | − | 32.0567i | −0.272836 | − | 0.138773i | ||||
\(232\) | 167.620 | + | 267.042i | 0.722501 | + | 1.15104i | ||||
\(233\) | −41.2942 | − | 71.5236i | −0.177228 | − | 0.306968i | 0.763702 | − | 0.645569i | \(-0.223380\pi\) |
−0.940930 | + | 0.338601i | \(0.890046\pi\) | |||||||
\(234\) | −59.0137 | + | 50.7695i | −0.252195 | + | 0.216964i | ||||
\(235\) | −96.6534 | − | 55.8029i | −0.411291 | − | 0.237459i | ||||
\(236\) | 305.074 | + | 46.0792i | 1.29268 | + | 0.195251i | ||||
\(237\) | −600.581 | −2.53410 | ||||||||
\(238\) | 182.211 | − | 44.5733i | 0.765594 | − | 0.187283i | ||||
\(239\) | − | 205.327i | − | 0.859111i | −0.903041 | − | 0.429555i | \(-0.858670\pi\) | ||
0.903041 | − | 0.429555i | \(-0.141330\pi\) | |||||||
\(240\) | −260.577 | − | 281.185i | −1.08574 | − | 1.17160i | ||||
\(241\) | 7.72782 | − | 13.3850i | 0.0320656 | − | 0.0555393i | −0.849547 | − | 0.527513i | \(-0.823125\pi\) |
0.881613 | + | 0.471973i | \(0.156458\pi\) | |||||||
\(242\) | −176.017 | + | 151.428i | −0.727345 | + | 0.625734i | ||||
\(243\) | 288.902 | − | 166.797i | 1.18890 | − | 0.686409i | ||||
\(244\) | −148.430 | − | 118.445i | −0.608322 | − | 0.485429i | ||||
\(245\) | −255.954 | + | 27.2685i | −1.04471 | + | 0.111300i | ||||
\(246\) | −165.839 | + | 473.704i | −0.674141 | + | 1.92562i | ||||
\(247\) | 22.1752 | − | 12.8028i | 0.0897780 | − | 0.0518334i | ||||
\(248\) | −5.86713 | − | 158.780i | −0.0236578 | − | 0.640240i | ||||
\(249\) | 26.9940 | − | 46.7549i | 0.108410 | − | 0.187771i | ||||
\(250\) | 43.7260 | + | 231.294i | 0.174904 | + | 0.925174i | ||||
\(251\) | 410.701i | 1.63626i | 0.575034 | + | 0.818129i | \(0.304989\pi\) | ||||
−0.575034 | + | 0.818129i | \(0.695011\pi\) | |||||||
\(252\) | 328.957 | + | 31.9567i | 1.30538 | + | 0.126812i | ||||
\(253\) | 9.36045 | 0.0369978 | ||||||||
\(254\) | −105.096 | + | 19.8684i | −0.413764 | + | 0.0782220i | ||||
\(255\) | −278.026 | − | 160.518i | −1.09030 | − | 0.629484i | ||||
\(256\) | 19.4476 | − | 255.260i | 0.0759674 | − | 0.997110i | ||||
\(257\) | 172.787 | + | 299.275i | 0.672322 | + | 1.16450i | 0.977244 | + | 0.212118i | \(0.0680362\pi\) |
−0.304922 | + | 0.952377i | \(0.598630\pi\) | |||||||
\(258\) | 673.847 | + | 235.907i | 2.61181 | + | 0.914366i | ||||
\(259\) | −160.605 | − | 81.6890i | −0.620096 | − | 0.315402i | ||||
\(260\) | −54.1593 | − | 43.2181i | −0.208305 | − | 0.166224i | ||||
\(261\) | 232.601 | + | 402.876i | 0.891190 | + | 1.54359i | ||||
\(262\) | 168.988 | + | 196.429i | 0.644991 | + | 0.749728i | ||||
\(263\) | −262.276 | − | 151.425i | −0.997245 | − | 0.575760i | −0.0898132 | − | 0.995959i | \(-0.528627\pi\) |
−0.907432 | + | 0.420199i | \(0.861960\pi\) | |||||||
\(264\) | −37.7935 | + | 71.4282i | −0.143157 | + | 0.270562i | ||||
\(265\) | 252.513 | 0.952879 | ||||||||
\(266\) | −104.366 | − | 30.4277i | −0.392352 | − | 0.114390i | ||||
\(267\) | − | 141.913i | − | 0.531510i | ||||||
\(268\) | −206.528 | − | 31.1945i | −0.770625 | − | 0.116398i | ||||
\(269\) | 177.668 | − | 307.730i | 0.660476 | − | 1.14398i | −0.320014 | − | 0.947413i | \(-0.603688\pi\) |
0.980491 | − | 0.196566i | \(-0.0629790\pi\) | |||||||
\(270\) | −87.6231 | − | 101.852i | −0.324530 | − | 0.377229i | ||||
\(271\) | −413.381 | + | 238.666i | −1.52539 | + | 0.880685i | −0.525844 | + | 0.850581i | \(0.676251\pi\) |
−0.999547 | + | 0.0301040i | \(0.990416\pi\) | |||||||
\(272\) | −47.5748 | − | 209.036i | −0.174907 | − | 0.768516i | ||||
\(273\) | 105.135 | − | 5.58459i | 0.385111 | − | 0.0204564i | ||||
\(274\) | −307.558 | − | 107.673i | −1.12247 | − | 0.392966i | ||||
\(275\) | −4.97728 | + | 2.87364i | −0.0180992 | + | 0.0104496i | ||||
\(276\) | −71.7900 | + | 28.1498i | −0.260109 | + | 0.101992i | ||||
\(277\) | −44.4671 | + | 77.0192i | −0.160531 | + | 0.278048i | −0.935059 | − | 0.354492i | \(-0.884654\pi\) |
0.774528 | + | 0.632539i | \(0.217987\pi\) | |||||||
\(278\) | −489.806 | + | 92.5976i | −1.76189 | + | 0.333085i | ||||
\(279\) | − | 234.434i | − | 0.840267i | ||||||
\(280\) | 26.4408 | + | 292.983i | 0.0944313 | + | 1.04637i | ||||
\(281\) | −195.954 | −0.697347 | −0.348673 | − | 0.937244i | \(-0.613368\pi\) | ||||
−0.348673 | + | 0.937244i | \(0.613368\pi\) | |||||||
\(282\) | −36.0016 | − | 190.435i | −0.127665 | − | 0.675300i | ||||
\(283\) | 319.080 | + | 184.221i | 1.12749 | + | 0.650957i | 0.943303 | − | 0.331934i | \(-0.107701\pi\) |
0.184189 | + | 0.982891i | \(0.441034\pi\) | |||||||
\(284\) | 131.567 | + | 335.532i | 0.463263 | + | 1.18145i | ||||
\(285\) | 93.0254 | + | 161.125i | 0.326405 | + | 0.565350i | ||||
\(286\) | −4.82616 | + | 13.7855i | −0.0168747 | + | 0.0482011i | ||||
\(287\) | 322.850 | − | 209.986i | 1.12491 | − | 0.731660i | ||||
\(288\) | 42.5823 | − | 375.312i | 0.147855 | − | 1.30317i | ||||
\(289\) | 54.7352 | + | 94.8041i | 0.189395 | + | 0.328042i | ||||
\(290\) | −313.890 | + | 270.040i | −1.08238 | + | 0.931171i | ||||
\(291\) | 554.983 | + | 320.419i | 1.90716 | + | 1.10110i | ||||
\(292\) | 24.8487 | − | 164.514i | 0.0850985 | − | 0.563405i | ||||
\(293\) | −307.799 | −1.05051 | −0.525254 | − | 0.850946i | \(-0.676030\pi\) | ||||
−0.525254 | + | 0.850946i | \(0.676030\pi\) | |||||||
\(294\) | −325.769 | − | 306.061i | −1.10806 | − | 1.04103i | ||||
\(295\) | 405.190i | 1.37353i | ||||||||
\(296\) | −96.3079 | + | 182.018i | −0.325365 | + | 0.614927i | ||||
\(297\) | −14.1608 | + | 24.5273i | −0.0476796 | + | 0.0825835i | ||||
\(298\) | 265.668 | − | 228.554i | 0.891504 | − | 0.766960i | ||||
\(299\) | −12.0701 | + | 6.96869i | −0.0403683 | + | 0.0233067i | ||||
\(300\) | 29.5314 | − | 37.0077i | 0.0984380 | − | 0.123359i | ||||
\(301\) | −298.707 | − | 459.256i | −0.992383 | − | 1.52577i | ||||
\(302\) | 52.6594 | − | 150.417i | 0.174369 | − | 0.498070i | ||||
\(303\) | 166.998 | − | 96.4164i | 0.551149 | − | 0.318206i | ||||
\(304\) | −36.6943 | + | 118.699i | −0.120705 | + | 0.390456i | ||||
\(305\) | 124.693 | − | 215.975i | 0.408831 | − | 0.708116i | ||||
\(306\) | −58.7582 | − | 310.809i | −0.192020 | − | 1.01571i | ||||
\(307\) | 192.082i | 0.625675i | 0.949807 | + | 0.312838i | \(0.101280\pi\) | ||||
−0.949807 | + | 0.312838i | \(0.898720\pi\) | |||||||
\(308\) | 56.4489 | − | 25.6674i | 0.183276 | − | 0.0833358i | ||||
\(309\) | 441.761 | 1.42965 | ||||||||
\(310\) | 205.032 | − | 38.7612i | 0.661394 | − | 0.125036i | ||||
\(311\) | −441.033 | − | 254.630i | −1.41811 | − | 0.818747i | −0.421978 | − | 0.906606i | \(-0.638664\pi\) |
−0.996133 | + | 0.0878588i | \(0.971998\pi\) | |||||||
\(312\) | −4.44311 | − | 120.242i | −0.0142407 | − | 0.385391i | ||||
\(313\) | −160.504 | − | 278.002i | −0.512794 | − | 0.888185i | −0.999890 | − | 0.0148364i | \(-0.995277\pi\) |
0.487096 | − | 0.873348i | \(-0.338056\pi\) | |||||||
\(314\) | 202.635 | + | 70.9402i | 0.645333 | + | 0.225924i | ||||
\(315\) | 23.0232 | + | 433.434i | 0.0730895 | + | 1.37598i | ||||
\(316\) | 328.518 | − | 411.686i | 1.03961 | − | 1.30280i | ||||
\(317\) | −48.8820 | − | 84.6662i | −0.154202 | − | 0.267086i | 0.778566 | − | 0.627563i | \(-0.215947\pi\) |
−0.932768 | + | 0.360477i | \(0.882614\pi\) | |||||||
\(318\) | 285.976 | + | 332.414i | 0.899295 | + | 1.04533i | ||||
\(319\) | 75.5889 | + | 43.6413i | 0.236956 | + | 0.136807i | ||||
\(320\) | 335.282 | − | 24.8122i | 1.04776 | − | 0.0775380i | ||||
\(321\) | −11.9122 | −0.0371096 | ||||||||
\(322\) | 56.8071 | + | 16.5621i | 0.176420 | + | 0.0514350i | ||||
\(323\) | 104.043i | 0.322114i | ||||||||
\(324\) | −28.6183 | + | 189.471i | −0.0883281 | + | 0.584788i | ||||
\(325\) | 4.27875 | − | 7.41101i | 0.0131654 | − | 0.0228031i | ||||
\(326\) | −109.582 | − | 127.377i | −0.336142 | − | 0.390726i | ||||
\(327\) | −30.5515 | + | 17.6389i | −0.0934297 | + | 0.0539416i | ||||
\(328\) | −234.001 | − | 372.795i | −0.713417 | − | 1.13657i | ||||
\(329\) | −67.4234 | + | 132.558i | −0.204934 | + | 0.402912i | ||||
\(330\) | −100.166 | − | 35.0669i | −0.303532 | − | 0.106263i | ||||
\(331\) | 264.468 | − | 152.690i | 0.798996 | − | 0.461300i | −0.0441241 | − | 0.999026i | \(-0.514050\pi\) |
0.843120 | + | 0.537726i | \(0.180716\pi\) | |||||||
\(332\) | 17.2839 | + | 44.0788i | 0.0520598 | + | 0.132767i | ||||
\(333\) | −151.920 | + | 263.132i | −0.456215 | + | 0.790187i | ||||
\(334\) | 11.9612 | − | 2.26127i | 0.0358121 | − | 0.00677026i | ||||
\(335\) | − | 274.304i | − | 0.818818i | ||||||
\(336\) | −355.745 | + | 366.616i | −1.05877 | + | 1.09112i | ||||
\(337\) | 385.052 | 1.14259 | 0.571293 | − | 0.820746i | \(-0.306442\pi\) | ||||
0.571293 | + | 0.820746i | \(0.306442\pi\) | |||||||
\(338\) | 58.7468 | + | 310.748i | 0.173807 | + | 0.919373i | ||||
\(339\) | 136.472 | + | 78.7921i | 0.402572 | + | 0.232425i | ||||
\(340\) | 262.112 | − | 102.778i | 0.770919 | − | 0.302287i | ||||
\(341\) | −21.9927 | − | 38.0924i | −0.0644946 | − | 0.111708i | ||||
\(342\) | −60.5715 | + | 173.017i | −0.177110 | + | 0.505899i | ||||
\(343\) | 54.3769 | + | 338.662i | 0.158533 | + | 0.987354i | ||||
\(344\) | −530.303 | + | 332.868i | −1.54158 | + | 0.967638i | ||||
\(345\) | −50.6345 | − | 87.7015i | −0.146767 | − | 0.254207i | ||||
\(346\) | 211.580 | − | 182.022i | 0.611502 | − | 0.526075i | ||||
\(347\) | −351.494 | − | 202.935i | −1.01295 | − | 0.584827i | −0.100897 | − | 0.994897i | \(-0.532171\pi\) |
−0.912054 | + | 0.410070i | \(0.865504\pi\) | |||||||
\(348\) | −710.973 | − | 107.388i | −2.04303 | − | 0.308585i | ||||
\(349\) | 597.434 | 1.71185 | 0.855923 | − | 0.517103i | \(-0.172990\pi\) | ||||
0.855923 | + | 0.517103i | \(0.172990\pi\) | |||||||
\(350\) | −35.2909 | + | 8.63301i | −0.100831 | + | 0.0246657i | ||||
\(351\) | − | 42.1700i | − | 0.120142i | ||||||
\(352\) | −28.2896 | − | 64.9779i | −0.0803682 | − | 0.184596i | ||||
\(353\) | −254.527 | + | 440.853i | −0.721039 | + | 1.24888i | 0.239544 | + | 0.970885i | \(0.423002\pi\) |
−0.960584 | + | 0.277991i | \(0.910331\pi\) | |||||||
\(354\) | −533.402 | + | 458.886i | −1.50679 | + | 1.29629i | ||||
\(355\) | −409.899 | + | 236.656i | −1.15465 | + | 0.666635i | ||||
\(356\) | 97.2787 | + | 77.6266i | 0.273255 | + | 0.218052i | ||||
\(357\) | −193.945 | + | 381.307i | −0.543264 | + | 1.06809i | ||||
\(358\) | 102.894 | − | 293.908i | 0.287413 | − | 0.820972i | ||||
\(359\) | 462.550 | − | 267.054i | 1.28844 | − | 0.743882i | 0.310065 | − | 0.950715i | \(-0.399649\pi\) |
0.978376 | + | 0.206834i | \(0.0663159\pi\) | |||||||
\(360\) | 495.713 | − | 18.3173i | 1.37698 | − | 0.0508814i | ||||
\(361\) | −150.352 | + | 260.417i | −0.416487 | + | 0.721377i | ||||
\(362\) | −36.0844 | − | 190.873i | −0.0996807 | − | 0.527273i | ||||
\(363\) | − | 529.524i | − | 1.45874i | ||||||
\(364\) | −53.6809 | + | 75.1230i | −0.147475 | + | 0.206382i | ||||
\(365\) | 218.503 | 0.598640 | ||||||||
\(366\) | 425.533 | − | 80.4468i | 1.16266 | − | 0.219800i | ||||
\(367\) | −279.779 | − | 161.530i | −0.762341 | − | 0.440138i | 0.0677948 | − | 0.997699i | \(-0.478404\pi\) |
−0.830136 | + | 0.557562i | \(0.811737\pi\) | |||||||
\(368\) | 19.9730 | − | 64.6086i | 0.0542745 | − | 0.175567i | ||||
\(369\) | −324.714 | − | 562.422i | −0.879985 | − | 1.52418i | ||||
\(370\) | −255.249 | − | 89.3599i | −0.689862 | − | 0.241513i | ||||
\(371\) | −17.8483 | − | 336.011i | −0.0481086 | − | 0.905691i | ||||
\(372\) | 283.229 | + | 226.011i | 0.761368 | + | 0.607557i | ||||
\(373\) | −4.10428 | − | 7.10883i | −0.0110034 | − | 0.0190585i | 0.860471 | − | 0.509499i | \(-0.170169\pi\) |
−0.871475 | + | 0.490440i | \(0.836836\pi\) | |||||||
\(374\) | −38.7049 | − | 44.9900i | −0.103489 | − | 0.120294i | ||||
\(375\) | −464.901 | − | 268.411i | −1.23974 | − | 0.715762i | ||||
\(376\) | 150.232 | + | 79.4894i | 0.399553 | + | 0.211408i | ||||
\(377\) | −129.961 | −0.344724 | ||||||||
\(378\) | −129.338 | + | 123.797i | −0.342163 | + | 0.327504i | ||||
\(379\) | − | 51.9349i | − | 0.137031i | −0.997650 | − | 0.0685157i | \(-0.978174\pi\) | ||
0.997650 | − | 0.0685157i | \(-0.0218263\pi\) | |||||||
\(380\) | −161.333 | − | 24.3682i | −0.424560 | − | 0.0641268i | ||||
\(381\) | 121.962 | − | 211.244i | 0.320109 | − | 0.554445i | ||||
\(382\) | 55.2340 | + | 64.2032i | 0.144592 | + | 0.168071i | ||||
\(383\) | −94.1005 | + | 54.3289i | −0.245693 | + | 0.141851i | −0.617791 | − | 0.786343i | \(-0.711972\pi\) |
0.372097 | + | 0.928194i | \(0.378639\pi\) | |||||||
\(384\) | 412.376 | + | 413.273i | 1.07390 | + | 1.07623i | ||||
\(385\) | 44.4021 | + | 68.2673i | 0.115330 | + | 0.177318i | ||||
\(386\) | 526.286 | + | 184.247i | 1.36344 | + | 0.477324i | ||||
\(387\) | −800.049 | + | 461.909i | −2.06731 | + | 1.19356i | ||||
\(388\) | −523.217 | + | 205.160i | −1.34850 | + | 0.528763i | ||||
\(389\) | 51.3814 | − | 88.9951i | 0.132086 | − | 0.228779i | −0.792395 | − | 0.610009i | \(-0.791166\pi\) |
0.924480 | + | 0.381230i | \(0.124499\pi\) | |||||||
\(390\) | 155.268 | − | 29.3534i | 0.398124 | − | 0.0752652i | ||||
\(391\) | − | 56.6315i | − | 0.144837i | ||||||
\(392\) | 387.995 | − | 55.8927i | 0.989783 | − | 0.142584i | ||||
\(393\) | −590.929 | −1.50364 | ||||||||
\(394\) | −23.6061 | − | 124.867i | −0.0599139 | − | 0.316921i | ||||
\(395\) | 599.028 | + | 345.849i | 1.51653 | + | 0.875567i | ||||
\(396\) | −38.1718 | − | 97.3489i | −0.0963934 | − | 0.245831i | ||||
\(397\) | 195.656 | + | 338.887i | 0.492837 | + | 0.853619i | 0.999966 | − | 0.00825158i | \(-0.00262659\pi\) |
−0.507129 | + | 0.861870i | \(0.669293\pi\) | |||||||
\(398\) | 88.7859 | − | 253.609i | 0.223080 | − | 0.637210i | ||||
\(399\) | 207.828 | − | 135.175i | 0.520873 | − | 0.338784i | ||||
\(400\) | 9.21433 | + | 40.4864i | 0.0230358 | + | 0.101216i | ||||
\(401\) | −110.175 | − | 190.829i | −0.274751 | − | 0.475883i | 0.695321 | − | 0.718699i | \(-0.255262\pi\) |
−0.970072 | + | 0.242816i | \(0.921929\pi\) | |||||||
\(402\) | 361.101 | − | 310.655i | 0.898260 | − | 0.772773i | ||||
\(403\) | 56.7183 | + | 32.7463i | 0.140740 | + | 0.0812564i | ||||
\(404\) | −25.2565 | + | 167.214i | −0.0625160 | + | 0.413895i | ||||
\(405\) | −251.650 | −0.621359 | ||||||||
\(406\) | 381.520 | + | 398.597i | 0.939704 | + | 0.981766i | ||||
\(407\) | 57.0072i | 0.140067i | ||||||||
\(408\) | 432.147 | + | 228.653i | 1.05918 | + | 0.560425i | ||||
\(409\) | −267.662 | + | 463.605i | −0.654431 | + | 1.13351i | 0.327605 | + | 0.944815i | \(0.393759\pi\) |
−0.982036 | + | 0.188694i | \(0.939575\pi\) | |||||||
\(410\) | 438.196 | − | 376.980i | 1.06877 | − | 0.919463i | ||||
\(411\) | 643.581 | − | 371.572i | 1.56589 | − | 0.904068i | ||||
\(412\) | −241.643 | + | 302.818i | −0.586512 | + | 0.734995i | ||||
\(413\) | 539.174 | − | 28.6399i | 1.30551 | − | 0.0693461i | ||||
\(414\) | 32.9696 | − | 94.1748i | 0.0796367 | − | 0.227475i | ||||
\(415\) | −53.8484 | + | 31.0894i | −0.129755 | + | 0.0749141i | ||||
\(416\) | 84.8539 | + | 62.7267i | 0.203976 | + | 0.150785i | ||||
\(417\) | 568.408 | − | 984.512i | 1.36309 | − | 2.36094i | ||||
\(418\) | 6.38899 | + | 33.7953i | 0.0152847 | + | 0.0808500i | ||||
\(419\) | 550.175i | 1.31307i | 0.754297 | + | 0.656534i | \(0.227978\pi\) | ||||
−0.754297 | + | 0.656534i | \(0.772022\pi\) | |||||||
\(420\) | −545.843 | − | 390.045i | −1.29963 | − | 0.928680i | ||||
\(421\) | −470.081 | −1.11658 | −0.558291 | − | 0.829645i | \(-0.688543\pi\) | ||||
−0.558291 | + | 0.829645i | \(0.688543\pi\) | |||||||
\(422\) | −470.438 | + | 88.9360i | −1.11478 | + | 0.210749i | ||||
\(423\) | 217.181 | + | 125.389i | 0.513430 | + | 0.296429i | ||||
\(424\) | −384.292 | + | 14.2001i | −0.906349 | + | 0.0334909i | ||||
\(425\) | 17.3857 | + | 30.1130i | 0.0409076 | + | 0.0708540i | ||||
\(426\) | −775.758 | − | 271.585i | −1.82103 | − | 0.637522i | ||||
\(427\) | −296.205 | − | 150.660i | −0.693689 | − | 0.352834i | ||||
\(428\) | 6.51596 | − | 8.16556i | 0.0152242 | − | 0.0190784i | ||||
\(429\) | −16.6548 | − | 28.8470i | −0.0388224 | − | 0.0672424i | ||||
\(430\) | −536.256 | − | 623.336i | −1.24711 | − | 1.44962i | ||||
\(431\) | 534.589 | + | 308.645i | 1.24035 | + | 0.716114i | 0.969165 | − | 0.246415i | \(-0.0792525\pi\) |
0.271181 | + | 0.962528i | \(0.412586\pi\) | |||||||
\(432\) | 139.079 | + | 150.078i | 0.321941 | + | 0.347402i | ||||
\(433\) | 189.923 | 0.438621 | 0.219310 | − | 0.975655i | \(-0.429619\pi\) | ||||
0.219310 | + | 0.975655i | \(0.429619\pi\) | |||||||
\(434\) | −66.0706 | − | 270.090i | −0.152236 | − | 0.622327i | ||||
\(435\) | − | 944.295i | − | 2.17079i | ||||||
\(436\) | 4.62055 | − | 30.5909i | 0.0105976 | − | 0.0701627i | ||||
\(437\) | −16.4098 | + | 28.4227i | −0.0375511 | + | 0.0650404i | ||||
\(438\) | 247.459 | + | 287.643i | 0.564976 | + | 0.656720i | ||||
\(439\) | 78.0565 | − | 45.0659i | 0.177805 | − | 0.102656i | −0.408456 | − | 0.912778i | \(-0.633933\pi\) |
0.586261 | + | 0.810122i | \(0.300599\pi\) | |||||||
\(440\) | 78.8282 | − | 49.4799i | 0.179155 | − | 0.112454i | ||||
\(441\) | 575.130 | − | 61.2725i | 1.30415 | − | 0.138940i | ||||
\(442\) | 83.4035 | + | 29.1987i | 0.188696 | + | 0.0660604i | ||||
\(443\) | −199.870 | + | 115.395i | −0.451174 | + | 0.260486i | −0.708326 | − | 0.705886i | \(-0.750549\pi\) |
0.257152 | + | 0.966371i | \(0.417216\pi\) | |||||||
\(444\) | −171.439 | − | 437.218i | −0.386123 | − | 0.984725i | ||||
\(445\) | −81.7218 | + | 141.546i | −0.183645 | + | 0.318082i | ||||
\(446\) | −2.94374 | + | 0.556514i | −0.00660032 | + | 0.00124779i | ||||
\(447\) | 799.225i | 1.78798i | ||||||||
\(448\) | −56.7154 | − | 444.396i | −0.126597 | − | 0.991954i | ||||
\(449\) | 176.049 | 0.392091 | 0.196045 | − | 0.980595i | \(-0.437190\pi\) | ||||
0.196045 | + | 0.980595i | \(0.437190\pi\) | |||||||
\(450\) | 11.3804 | + | 60.1977i | 0.0252897 | + | 0.133773i | ||||
\(451\) | −105.523 | − | 60.9240i | −0.233976 | − | 0.135086i | ||||
\(452\) | −128.661 | + | 50.4495i | −0.284647 | + | 0.111614i | ||||
\(453\) | 181.725 | + | 314.756i | 0.401158 | + | 0.694826i | ||||
\(454\) | −9.82022 | + | 28.0506i | −0.0216304 | + | 0.0617855i | ||||
\(455\) | −108.079 | − | 54.9728i | −0.237537 | − | 0.120819i | ||||
\(456\) | −150.634 | − | 239.980i | −0.330337 | − | 0.526271i | ||||
\(457\) | 22.3534 | + | 38.7173i | 0.0489134 | + | 0.0847205i | 0.889445 | − | 0.457041i | \(-0.151091\pi\) |
−0.840532 | + | 0.541762i | \(0.817757\pi\) | |||||||
\(458\) | −406.923 | + | 350.075i | −0.888477 | + | 0.764357i | ||||
\(459\) | 148.392 | + | 85.6742i | 0.323294 | + | 0.186654i | ||||
\(460\) | 87.8147 | + | 13.2638i | 0.190902 | + | 0.0288343i | ||||
\(461\) | 291.131 | 0.631520 | 0.315760 | − | 0.948839i | \(-0.397740\pi\) | ||||
0.315760 | + | 0.948839i | \(0.397740\pi\) | |||||||
\(462\) | −39.5825 | + | 135.766i | −0.0856764 | + | 0.293866i | ||||
\(463\) | 235.766i | 0.509213i | 0.967045 | + | 0.254607i | \(0.0819460\pi\) | ||||
−0.967045 | + | 0.254607i | \(0.918054\pi\) | |||||||
\(464\) | 462.514 | − | 428.617i | 0.996798 | − | 0.923743i | ||||
\(465\) | −237.935 | + | 412.115i | −0.511688 | + | 0.886269i | ||||
\(466\) | −125.216 | + | 107.723i | −0.268704 | + | 0.231166i | ||||
\(467\) | −254.414 | + | 146.886i | −0.544784 | + | 0.314531i | −0.747015 | − | 0.664807i | \(-0.768514\pi\) |
0.202232 | + | 0.979338i | \(0.435181\pi\) | |||||||
\(468\) | 121.696 | + | 97.1114i | 0.260035 | + | 0.207503i | ||||
\(469\) | −365.008 | + | 19.3886i | −0.778269 | + | 0.0413402i | ||||
\(470\) | −73.7547 | + | 210.674i | −0.156925 | + | 0.448243i | ||||
\(471\) | −424.024 | + | 244.810i | −0.900263 | + | 0.519767i | ||||
\(472\) | −22.7860 | − | 616.647i | −0.0482754 | − | 1.30646i | ||||
\(473\) | −86.6647 | + | 150.108i | −0.183224 | + | 0.317353i | ||||
\(474\) | 223.127 | + | 1180.26i | 0.470732 | + | 2.48999i | ||||
\(475\) | − | 20.1511i | − | 0.0424234i | ||||||
\(476\) | −155.290 | − | 341.520i | −0.326240 | − | 0.717480i | ||||
\(477\) | −567.398 | −1.18951 | ||||||||
\(478\) | −403.508 | + | 76.2829i | −0.844158 | + | 0.159588i | ||||
\(479\) | 559.224 | + | 322.868i | 1.16748 | + | 0.674046i | 0.953086 | − | 0.302701i | \(-0.0978882\pi\) |
0.214396 | + | 0.976747i | \(0.431222\pi\) | |||||||
\(480\) | −455.772 | + | 616.548i | −0.949525 | + | 1.28448i | ||||
\(481\) | −42.4409 | − | 73.5098i | −0.0882348 | − | 0.152827i | ||||
\(482\) | −29.1751 | − | 10.2139i | −0.0605292 | − | 0.0211906i | ||||
\(483\) | −113.123 | + | 73.5768i | −0.234209 | + | 0.152333i | ||||
\(484\) | 362.978 | + | 289.650i | 0.749954 | + | 0.598449i | ||||
\(485\) | −369.032 | − | 639.182i | −0.760891 | − | 1.31790i | ||||
\(486\) | −435.121 | − | 505.779i | −0.895311 | − | 1.04070i | ||||
\(487\) | −149.221 | − | 86.1527i | −0.306408 | − | 0.176905i | 0.338910 | − | 0.940819i | \(-0.389942\pi\) |
−0.645318 | + | 0.763914i | \(0.723275\pi\) | |||||||
\(488\) | −177.622 | + | 335.699i | −0.363979 | + | 0.687907i | ||||
\(489\) | 383.195 | 0.783631 | ||||||||
\(490\) | 148.679 | + | 492.867i | 0.303427 | + | 1.00585i | ||||
\(491\) | 432.143i | 0.880129i | 0.897966 | + | 0.440064i | \(0.145044\pi\) | ||||
−0.897966 | + | 0.440064i | \(0.854956\pi\) | |||||||
\(492\) | 992.530 | + | 149.915i | 2.01734 | + | 0.304705i | ||||
\(493\) | 264.033 | − | 457.319i | 0.535564 | − | 0.927625i | ||||
\(494\) | −33.3985 | − | 38.8219i | −0.0676083 | − | 0.0785869i | ||||
\(495\) | 118.925 | − | 68.6615i | 0.240253 | − | 0.138710i | ||||
\(496\) | −309.852 | + | 70.5196i | −0.624702 | + | 0.142177i | ||||
\(497\) | 343.883 | + | 528.713i | 0.691918 | + | 1.06381i | ||||
\(498\) | −101.911 | − | 35.6780i | −0.204641 | − | 0.0716425i | ||||
\(499\) | 426.464 | − | 246.219i | 0.854636 | − | 0.493425i | −0.00757609 | − | 0.999971i | \(-0.502412\pi\) |
0.862213 | + | 0.506547i | \(0.169078\pi\) | |||||||
\(500\) | 438.291 | − | 171.860i | 0.876582 | − | 0.343719i | ||||
\(501\) | −13.8807 | + | 24.0421i | −0.0277061 | + | 0.0479883i | ||||
\(502\) | 807.106 | − | 152.583i | 1.60778 | − | 0.303950i | ||||
\(503\) | − | 723.078i | − | 1.43753i | −0.695253 | − | 0.718766i | \(-0.744707\pi\) | ||
0.695253 | − | 0.718766i | \(-0.255293\pi\) | |||||||
\(504\) | −59.4126 | − | 658.335i | −0.117882 | − | 1.30622i | ||||
\(505\) | −222.089 | −0.439779 | ||||||||
\(506\) | −3.47758 | − | 18.3951i | −0.00687268 | − | 0.0363539i | ||||
\(507\) | −624.605 | − | 360.616i | −1.23196 | − | 0.711274i | ||||
\(508\) | 78.0903 | + | 199.152i | 0.153721 | + | 0.392032i | ||||
\(509\) | −232.354 | − | 402.449i | −0.456491 | − | 0.790666i | 0.542281 | − | 0.840197i | \(-0.317561\pi\) |
−0.998773 | + | 0.0495308i | \(0.984227\pi\) | |||||||
\(510\) | −212.158 | + | 606.010i | −0.415995 | + | 1.18825i | ||||
\(511\) | −15.4444 | − | 290.756i | −0.0302239 | − | 0.568994i | ||||
\(512\) | −508.860 | + | 56.6155i | −0.993868 | + | 0.110577i | ||||
\(513\) | −49.6508 | − | 85.9978i | −0.0967853 | − | 0.167637i | ||||
\(514\) | 523.940 | − | 450.745i | 1.01934 | − | 0.876936i | ||||
\(515\) | −440.619 | − | 254.391i | −0.855570 | − | 0.493964i | ||||
\(516\) | 213.255 | − | 1411.88i | 0.413284 | − | 2.73620i | ||||
\(517\) | 47.0519 | 0.0910095 | ||||||||
\(518\) | −100.867 | + | 345.968i | −0.194724 | + | 0.667892i | ||||
\(519\) | 636.508i | 1.22641i | ||||||||
\(520\) | −64.8107 | + | 122.490i | −0.124636 | + | 0.235557i | ||||
\(521\) | −19.9350 | + | 34.5283i | −0.0382629 | + | 0.0662732i | −0.884523 | − | 0.466497i | \(-0.845516\pi\) |
0.846260 | + | 0.532770i | \(0.178849\pi\) | |||||||
\(522\) | 705.313 | − | 606.781i | 1.35117 | − | 1.16241i | ||||
\(523\) | 678.225 | − | 391.574i | 1.29680 | − | 0.748707i | 0.316948 | − | 0.948443i | \(-0.397342\pi\) |
0.979850 | + | 0.199736i | \(0.0640086\pi\) | |||||||
\(524\) | 323.238 | − | 405.070i | 0.616866 | − | 0.773034i | ||||
\(525\) | 37.5635 | − | 73.8519i | 0.0715496 | − | 0.140670i | ||||
\(526\) | −200.138 | + | 571.678i | −0.380491 | + | 1.08684i | ||||
\(527\) | −230.462 | + | 133.057i | −0.437310 | + | 0.252481i | ||||
\(528\) | 154.411 | + | 47.7344i | 0.292445 | + | 0.0904061i | ||||
\(529\) | −255.568 | + | 442.657i | −0.483115 | + | 0.836780i | ||||
\(530\) | −93.8132 | − | 496.236i | −0.177006 | − | 0.936294i | ||||
\(531\) | − | 910.465i | − | 1.71462i | ||||||
\(532\) | −21.0226 | + | 216.403i | −0.0395161 | + | 0.406772i | ||||
\(533\) | 181.427 | 0.340389 | ||||||||
\(534\) | −278.887 | + | 52.7234i | −0.522260 | + | 0.0987329i | ||||
\(535\) | 11.8814 | + | 6.85972i | 0.0222082 | + | 0.0128219i | ||||
\(536\) | 15.4256 | + | 417.455i | 0.0287790 | + | 0.778835i | ||||
\(537\) | 355.081 | + | 615.018i | 0.661231 | + | 1.14529i | ||||
\(538\) | −670.756 | − | 234.824i | −1.24676 | − | 0.436476i | ||||
\(539\) | 87.7027 | − | 63.9098i | 0.162714 | − | 0.118571i | ||||
\(540\) | −167.605 | + | 210.036i | −0.310379 | + | 0.388955i | ||||
\(541\) | −139.052 | − | 240.845i | −0.257027 | − | 0.445184i | 0.708417 | − | 0.705794i | \(-0.249410\pi\) |
−0.965444 | + | 0.260610i | \(0.916076\pi\) | |||||||
\(542\) | 622.602 | + | 723.704i | 1.14871 | + | 1.33525i | ||||
\(543\) | 383.655 | + | 221.503i | 0.706547 | + | 0.407925i | ||||
\(544\) | −393.121 | + | 171.154i | −0.722650 | + | 0.314622i | ||||
\(545\) | 40.6300 | 0.0745505 | ||||||||
\(546\) | −50.0345 | − | 204.536i | −0.0916383 | − | 0.374609i | ||||
\(547\) | 180.254i | 0.329532i | 0.986333 | + | 0.164766i | \(0.0526869\pi\) | ||||
−0.986333 | + | 0.164766i | \(0.947313\pi\) | |||||||
\(548\) | −97.3339 | + | 644.412i | −0.177617 | + | 1.17593i | ||||
\(549\) | −280.187 | + | 485.298i | −0.510359 | + | 0.883967i | ||||
\(550\) | 7.49640 | + | 8.71370i | 0.0136298 | + | 0.0158431i | ||||
\(551\) | −265.031 | + | 153.015i | −0.480999 | + | 0.277705i | ||||
\(552\) | 81.9911 | + | 130.623i | 0.148535 | + | 0.236636i | ||||
\(553\) | 417.870 | − | 821.554i | 0.755642 | − | 1.48563i | ||||
\(554\) | 167.878 | + | 58.7722i | 0.303028 | + | 0.106087i | ||||
\(555\) | 534.122 | − | 308.376i | 0.962383 | − | 0.555632i | ||||
\(556\) | 363.944 | + | 928.161i | 0.654576 | + | 1.66935i | ||||
\(557\) | −214.374 | + | 371.307i | −0.384873 | + | 0.666619i | −0.991752 | − | 0.128175i | \(-0.959088\pi\) |
0.606879 | + | 0.794794i | \(0.292421\pi\) | |||||||
\(558\) | −460.708 | + | 87.0967i | −0.825642 | + | 0.156087i | ||||
\(559\) | − | 258.082i | − | 0.461685i | ||||||
\(560\) | 565.945 | − | 160.810i | 1.01062 | − | 0.287160i | ||||
\(561\) | 135.346 | 0.241259 | ||||||||
\(562\) | 72.8007 | + | 385.088i | 0.129539 | + | 0.685209i | ||||
\(563\) | −654.562 | − | 377.912i | −1.16263 | − | 0.671246i | −0.210699 | − | 0.977551i | \(-0.567574\pi\) |
−0.951934 | + | 0.306305i | \(0.900907\pi\) | |||||||
\(564\) | −360.865 | + | 141.500i | −0.639832 | + | 0.250886i | ||||
\(565\) | −90.7460 | − | 157.177i | −0.160612 | − | 0.278189i | ||||
\(566\) | 243.485 | − | 695.495i | 0.430186 | − | 1.22879i | ||||
\(567\) | 17.7873 | + | 334.863i | 0.0313709 | + | 0.590588i | ||||
\(568\) | 610.505 | − | 383.210i | 1.07483 | − | 0.674665i | ||||
\(569\) | −150.795 | − | 261.185i | −0.265018 | − | 0.459025i | 0.702550 | − | 0.711634i | \(-0.252045\pi\) |
−0.967568 | + | 0.252609i | \(0.918711\pi\) | |||||||
\(570\) | 282.080 | − | 242.673i | 0.494878 | − | 0.425743i | ||||
\(571\) | −144.347 | − | 83.3386i | −0.252796 | − | 0.145952i | 0.368248 | − | 0.929728i | \(-0.379958\pi\) |
−0.621044 | + | 0.783776i | \(0.713291\pi\) | |||||||
\(572\) | 28.8842 | + | 4.36276i | 0.0504968 | + | 0.00762720i | ||||
\(573\) | −193.146 | −0.337079 | ||||||||
\(574\) | −532.608 | − | 556.448i | −0.927889 | − | 0.969421i | ||||
\(575\) | 10.9684i | 0.0190755i | ||||||||
\(576\) | −753.381 | + | 55.7531i | −1.30795 | + | 0.0967935i | ||||
\(577\) | 220.904 | − | 382.616i | 0.382849 | − | 0.663113i | −0.608620 | − | 0.793462i | \(-0.708276\pi\) |
0.991468 | + | 0.130349i | \(0.0416098\pi\) | |||||||
\(578\) | 165.973 | − | 142.787i | 0.287151 | − | 0.247036i | ||||
\(579\) | −1101.28 | + | 635.826i | −1.90204 | + | 1.09814i | ||||
\(580\) | 647.295 | + | 516.529i | 1.11603 | + | 0.890567i | ||||
\(581\) | 45.1758 | + | 69.4569i | 0.0777553 | + | 0.119547i | ||||
\(582\) | 423.499 | − | 1209.69i | 0.727662 | − | 2.07850i | ||||
\(583\) | −92.1945 | + | 53.2285i | −0.158138 | + | 0.0913011i | ||||
\(584\) | −332.534 | + | 12.2876i | −0.569407 | + | 0.0210404i | ||||
\(585\) | −102.235 | + | 177.076i | −0.174760 | + | 0.302693i | ||||
\(586\) | 114.353 | + | 604.883i | 0.195142 | + | 1.03222i | ||||
\(587\) | − | 10.3386i | − | 0.0176127i | −0.999961 | − | 0.00880633i | \(-0.997197\pi\) | ||
0.999961 | − | 0.00880633i | \(-0.00280318\pi\) | |||||||
\(588\) | −480.440 | + | 753.906i | −0.817075 | + | 1.28215i | ||||
\(589\) | 154.222 | 0.261837 | ||||||||
\(590\) | 796.276 | − | 150.536i | 1.34962 | − | 0.255145i | ||||
\(591\) | 250.983 | + | 144.905i | 0.424676 | + | 0.245187i | ||||
\(592\) | 393.481 | + | 121.640i | 0.664664 | + | 0.205473i | ||||
\(593\) | 41.9808 | + | 72.7128i | 0.0707939 | + | 0.122619i | 0.899249 | − | 0.437436i | \(-0.144113\pi\) |
−0.828456 | + | 0.560055i | \(0.810780\pi\) | |||||||
\(594\) | 53.4618 | + | 18.7164i | 0.0900030 | + | 0.0315091i | ||||
\(595\) | 413.022 | − | 268.636i | 0.694155 | − | 0.451489i | ||||
\(596\) | −547.853 | − | 437.176i | −0.919216 | − | 0.733517i | ||||
\(597\) | 306.395 | + | 530.692i | 0.513224 | + | 0.888931i | ||||
\(598\) | 18.1791 | + | 21.1311i | 0.0303998 | + | 0.0353363i | ||||
\(599\) | −20.8257 | − | 12.0237i | −0.0347674 | − | 0.0200730i | 0.482516 | − | 0.875887i | \(-0.339723\pi\) |
−0.517283 | + | 0.855814i | \(0.673057\pi\) | |||||||
\(600\) | −83.6985 | − | 44.2858i | −0.139498 | − | 0.0738097i | ||||
\(601\) | −493.245 | −0.820708 | −0.410354 | − | 0.911926i | \(-0.634595\pi\) | ||||
−0.410354 | + | 0.911926i | \(0.634595\pi\) | |||||||
\(602\) | −791.551 | + | 757.639i | −1.31487 | + | 1.25854i | ||||
\(603\) | 616.363i | 1.02216i | ||||||||
\(604\) | −315.162 | − | 47.6031i | −0.521792 | − | 0.0788130i | ||||
\(605\) | −304.930 | + | 528.155i | −0.504017 | + | 0.872983i | ||||
\(606\) | −251.520 | − | 292.363i | −0.415049 | − | 0.482447i | ||||
\(607\) | 430.310 | − | 248.440i | 0.708913 | − | 0.409291i | −0.101745 | − | 0.994810i | \(-0.532443\pi\) |
0.810658 | + | 0.585519i | \(0.199109\pi\) | |||||||
\(608\) | 246.898 | + | 28.0126i | 0.406082 | + | 0.0460734i | ||||
\(609\) | −1256.54 | + | 66.7453i | −2.06329 | + | 0.109598i | ||||
\(610\) | −470.759 | − | 164.807i | −0.771735 | − | 0.270176i | ||||
\(611\) | −60.6726 | + | 35.0293i | −0.0993005 | + | 0.0573312i | ||||
\(612\) | −588.969 | + | 230.942i | −0.962367 | + | 0.377357i | ||||
\(613\) | 505.351 | − | 875.294i | 0.824390 | − | 1.42789i | −0.0779947 | − | 0.996954i | \(-0.524852\pi\) |
0.902385 | − | 0.430932i | \(-0.141815\pi\) | |||||||
\(614\) | 377.478 | − | 71.3621i | 0.614785 | − | 0.116225i | ||||
\(615\) | 1318.25i | 2.14350i | ||||||||
\(616\) | −71.4132 | − | 101.397i | −0.115931 | − | 0.164605i | ||||
\(617\) | −149.276 | −0.241938 | −0.120969 | − | 0.992656i | \(-0.538600\pi\) | ||||
−0.120969 | + | 0.992656i | \(0.538600\pi\) | |||||||
\(618\) | −164.122 | − | 868.144i | −0.265570 | − | 1.40476i | ||||
\(619\) | −147.508 | − | 85.1640i | −0.238301 | − | 0.137583i | 0.376094 | − | 0.926581i | \(-0.377267\pi\) |
−0.614396 | + | 0.788998i | \(0.710600\pi\) | |||||||
\(620\) | −152.346 | − | 388.527i | −0.245720 | − | 0.626656i | ||||
\(621\) | 27.0254 | + | 46.8093i | 0.0435191 | + | 0.0753773i | ||||
\(622\) | −336.545 | + | 961.313i | −0.541070 | + | 1.54552i | ||||
\(623\) | 194.128 | + | 98.7399i | 0.311602 | + | 0.158491i | ||||
\(624\) | −234.648 | + | 53.4037i | −0.376038 | + | 0.0855828i | ||||
\(625\) | 341.572 | + | 591.619i | 0.546514 | + | 0.946591i | ||||
\(626\) | −486.696 | + | 418.705i | −0.777470 | + | 0.668857i | ||||
\(627\) | −67.9287 | − | 39.2186i | −0.108339 | − | 0.0625497i | ||||
\(628\) | 64.1285 | − | 424.571i | 0.102115 | − | 0.676069i | ||||
\(629\) | 344.898 | 0.548328 | ||||||||
\(630\) | 843.226 | − | 206.274i | 1.33845 | − | 0.327418i | ||||
\(631\) | − | 853.611i | − | 1.35279i | −0.736538 | − | 0.676396i | \(-0.763541\pi\) | ||
0.736538 | − | 0.676396i | \(-0.236459\pi\) | |||||||
\(632\) | −931.092 | − | 492.651i | −1.47325 | − | 0.779511i | ||||
\(633\) | 545.932 | − | 945.581i | 0.862451 | − | 1.49381i | ||||
\(634\) | −148.225 | + | 127.518i | −0.233793 | + | 0.201132i | ||||
\(635\) | −243.293 | + | 140.465i | −0.383138 | + | 0.221205i | ||||
\(636\) | 547.012 | − | 685.495i | 0.860082 | − | 1.07782i | ||||
\(637\) | −65.5113 | + | 147.704i | −0.102844 | + | 0.231874i | ||||
\(638\) | 57.6808 | − | 164.760i | 0.0904087 | − | 0.258245i | ||||
\(639\) | 921.047 | − | 531.767i | 1.44139 | − | 0.832185i | ||||
\(640\) | −173.324 | − | 649.675i | −0.270819 | − | 1.01512i | ||||
\(641\) | 382.305 | − | 662.173i | 0.596420 | − | 1.03303i | −0.396924 | − | 0.917851i | \(-0.629922\pi\) |
0.993345 | − | 0.115179i | \(-0.0367442\pi\) | |||||||
\(642\) | 4.42559 | + | 23.4097i | 0.00689345 | + | 0.0364637i | ||||
\(643\) | 585.159i | 0.910045i | 0.890480 | + | 0.455022i | \(0.150369\pi\) | ||||
−0.890480 | + | 0.455022i | \(0.849631\pi\) | |||||||
\(644\) | 11.4428 | − | 117.790i | 0.0177683 | − | 0.182904i | ||||
\(645\) | 1875.22 | 2.90732 | ||||||||
\(646\) | 204.464 | − | 38.6539i | 0.316508 | − | 0.0598357i | ||||
\(647\) | 318.173 | + | 183.697i | 0.491766 | + | 0.283921i | 0.725307 | − | 0.688426i | \(-0.241698\pi\) |
−0.233541 | + | 0.972347i | \(0.575031\pi\) | |||||||
\(648\) | 382.979 | − | 14.1516i | 0.591017 | − | 0.0218389i | ||||
\(649\) | −85.4122 | − | 147.938i | −0.131606 | − | 0.227948i | ||||
\(650\) | −16.1537 | − | 5.65523i | −0.0248518 | − | 0.00870035i | ||||
\(651\) | 565.207 | + | 287.483i | 0.868213 | + | 0.441602i | ||||
\(652\) | −209.608 | + | 262.673i | −0.321484 | + | 0.402872i | ||||
\(653\) | 475.089 | + | 822.878i | 0.727548 | + | 1.26015i | 0.957917 | + | 0.287047i | \(0.0926736\pi\) |
−0.230368 | + | 0.973104i | \(0.573993\pi\) | |||||||
\(654\) | 46.0143 | + | 53.4863i | 0.0703582 | + | 0.0817834i | ||||
\(655\) | 589.401 | + | 340.291i | 0.899849 | + | 0.519528i | ||||
\(656\) | −645.678 | + | 598.356i | −0.984265 | + | 0.912128i | ||||
\(657\) | −490.979 | −0.747304 | ||||||||
\(658\) | 285.551 | + | 83.2522i | 0.433968 | + | 0.126523i | ||||
\(659\) | − | 351.380i | − | 0.533202i | −0.963807 | − | 0.266601i | \(-0.914099\pi\) | ||
0.963807 | − | 0.266601i | \(-0.0859006\pi\) | |||||||
\(660\) | −31.6998 | + | 209.872i | −0.0480300 | + | 0.317989i | ||||
\(661\) | −130.956 | + | 226.822i | −0.198118 | + | 0.343150i | −0.947918 | − | 0.318514i | \(-0.896816\pi\) |
0.749800 | + | 0.661664i | \(0.230150\pi\) | |||||||
\(662\) | −398.320 | − | 463.002i | −0.601692 | − | 0.699399i | ||||
\(663\) | −174.526 | + | 100.763i | −0.263238 | + | 0.151980i | ||||
\(664\) | 80.2019 | − | 50.3422i | 0.120786 | − | 0.0758165i | ||||
\(665\) | −285.133 | + | 15.1457i | −0.428771 | + | 0.0227755i | ||||
\(666\) | 573.546 | + | 200.792i | 0.861180 | + | 0.301490i | ||||
\(667\) | 144.258 | − | 83.2876i | 0.216279 | − | 0.124869i | ||||
\(668\) | −8.88765 | − | 22.6660i | −0.0133049 | − | 0.0339312i | ||||
\(669\) | 3.41615 | − | 5.91694i | 0.00510635 | − | 0.00884445i | ||||
\(670\) | −539.060 | + | 101.909i | −0.804567 | + | 0.152103i | ||||
\(671\) | 105.139i | 0.156690i | ||||||||
\(672\) | 852.637 | + | 562.903i | 1.26881 | + | 0.837653i | ||||
\(673\) | −420.840 | −0.625319 | −0.312660 | − | 0.949865i | \(-0.601220\pi\) | ||||
−0.312660 | + | 0.949865i | \(0.601220\pi\) | |||||||
\(674\) | −143.054 | − | 756.700i | −0.212246 | − | 1.12270i | ||||
\(675\) | −28.7407 | − | 16.5935i | −0.0425788 | − | 0.0245829i | ||||
\(676\) | 588.854 | − | 230.897i | 0.871085 | − | 0.341564i | ||||
\(677\) | −447.752 | − | 775.529i | −0.661377 | − | 1.14554i | −0.980254 | − | 0.197742i | \(-0.936639\pi\) |
0.318878 | − | 0.947796i | \(-0.396694\pi\) | |||||||
\(678\) | 104.140 | − | 297.466i | 0.153598 | − | 0.438740i | ||||
\(679\) | −824.456 | + | 536.239i | −1.21422 | + | 0.789748i | ||||
\(680\) | −299.357 | − | 476.917i | −0.440232 | − | 0.701349i | ||||
\(681\) | −33.8890 | − | 58.6974i | −0.0497635 | − | 0.0861930i | ||||
\(682\) | −66.6882 | + | 57.3718i | −0.0977833 | + | 0.0841229i | ||||
\(683\) | 17.6165 | + | 10.1709i | 0.0257928 | + | 0.0148915i | 0.512841 | − | 0.858484i | \(-0.328593\pi\) |
−0.487048 | + | 0.873375i | \(0.661926\pi\) | |||||||
\(684\) | 362.516 | + | 54.7555i | 0.529994 | + | 0.0800518i | ||||
\(685\) | −855.890 | −1.24947 | ||||||||
\(686\) | 645.334 | − | 232.680i | 0.940720 | − | 0.339184i | ||||
\(687\) | − | 1224.17i | − | 1.78191i | ||||||
\(688\) | 851.166 | + | 918.481i | 1.23716 | + | 1.33500i | ||||
\(689\) | 79.2555 | − | 137.275i | 0.115030 | − | 0.199237i | ||||
\(690\) | −153.539 | + | 132.089i | −0.222520 | + | 0.191434i | ||||
\(691\) | 267.205 | − | 154.271i | 0.386694 | − | 0.223258i | −0.294033 | − | 0.955795i | \(-0.594998\pi\) |
0.680727 | + | 0.732538i | \(0.261664\pi\) | |||||||
\(692\) | −436.314 | − | 348.170i | −0.630511 | − | 0.503136i | ||||
\(693\) | −99.7717 | − | 153.397i | −0.143971 | − | 0.221352i | ||||
\(694\) | −268.220 | + | 766.147i | −0.386484 | + | 1.10396i | ||||
\(695\) | −1133.88 | + | 654.645i | −1.63148 | + | 0.941935i | ||||
\(696\) | 53.1027 | + | 1437.09i | 0.0762969 | + | 2.06479i | ||||
\(697\) | −368.595 | + | 638.425i | −0.528830 | + | 0.915961i | ||||
\(698\) | −221.958 | − | 1174.07i | −0.317991 | − | 1.68205i | ||||
\(699\) | − | 376.695i | − | 0.538905i | ||||||
\(700\) | 30.0767 | + | 66.1460i | 0.0429667 | + | 0.0944943i | ||||
\(701\) | −1110.45 | −1.58410 | −0.792048 | − | 0.610458i | \(-0.790985\pi\) | ||||
−0.792048 | + | 0.610458i | \(0.790985\pi\) | |||||||
\(702\) | −82.8721 | + | 15.6669i | −0.118051 | + | 0.0223176i | ||||
\(703\) | −173.101 | − | 99.9397i | −0.246231 | − | 0.142162i | ||||
\(704\) | −117.184 | + | 79.7350i | −0.166454 | + | 0.113260i | ||||
\(705\) | −254.523 | − | 440.847i | −0.361026 | − | 0.625315i | ||||
\(706\) | 960.922 | + | 336.409i | 1.36108 | + | 0.476499i | ||||
\(707\) | 15.6978 | + | 295.526i | 0.0222034 | + | 0.418001i | ||||
\(708\) | 1099.97 | + | 877.752i | 1.55363 | + | 1.23976i | ||||
\(709\) | 282.842 | + | 489.897i | 0.398931 | + | 0.690969i | 0.993594 | − | 0.113006i | \(-0.0360478\pi\) |
−0.594663 | + | 0.803975i | \(0.702714\pi\) | |||||||
\(710\) | 617.358 | + | 717.608i | 0.869519 | + | 1.01072i | ||||
\(711\) | −1346.02 | − | 777.125i | −1.89314 | − | 1.09300i | ||||
\(712\) | 116.410 | − | 220.011i | 0.163497 | − | 0.309004i | ||||
\(713\) | −83.9442 | −0.117734 | ||||||||
\(714\) | 821.395 | + | 239.477i | 1.15041 | + | 0.335402i | ||||
\(715\) | 38.3632i | 0.0536548i | ||||||||
\(716\) | −615.812 | − | 93.0141i | −0.860073 | − | 0.129908i | ||||
\(717\) | 468.261 | − | 811.052i | 0.653084 | − | 1.13117i | ||||
\(718\) | −696.657 | − | 809.784i | −0.970275 | − | 1.12783i | ||||
\(719\) | 635.440 | − | 366.872i | 0.883784 | − | 0.510253i | 0.0118796 | − | 0.999929i | \(-0.496219\pi\) |
0.871904 | + | 0.489677i | \(0.162885\pi\) | |||||||
\(720\) | −220.163 | − | 967.365i | −0.305782 | − | 1.34356i | ||||
\(721\) | −307.367 | + | 604.299i | −0.426306 | + | 0.838140i | ||||
\(722\) | 567.628 | + | 198.720i | 0.786188 | + | 0.275236i | ||||
\(723\) | 61.0504 | − | 35.2475i | 0.0844404 | − | 0.0487517i | ||||
\(724\) | −361.695 | + | 141.826i | −0.499579 | + | 0.195892i | ||||
\(725\) | −51.1382 | + | 88.5740i | −0.0705355 | + | 0.122171i | ||||
\(726\) | −1040.62 | + | 196.728i | −1.43335 | + | 0.270975i | ||||
\(727\) | − | 482.678i | − | 0.663931i | −0.943292 | − | 0.331965i | \(-0.892288\pi\) | ||
0.943292 | − | 0.331965i | \(-0.107712\pi\) | |||||||
\(728\) | 167.574 | + | 77.5837i | 0.230185 | + | 0.106571i | ||||
\(729\) | 1090.42 | 1.49577 | ||||||||
\(730\) | −81.1780 | − | 429.401i | −0.111203 | − | 0.588220i | ||||
\(731\) | 908.164 | + | 524.329i | 1.24236 | + | 0.717276i | ||||
\(732\) | −316.187 | − | 806.366i | −0.431949 | − | 1.10159i | ||||
\(733\) | 539.259 | + | 934.023i | 0.735687 | + | 1.27425i | 0.954421 | + | 0.298463i | \(0.0964739\pi\) |
−0.218734 | + | 0.975785i | \(0.570193\pi\) | |||||||
\(734\) | −213.495 | + | 609.831i | −0.290865 | + | 0.830832i | ||||
\(735\) | −1073.21 | − | 476.005i | −1.46016 | − | 0.647626i | ||||
\(736\) | −134.389 | − | 15.2475i | −0.182593 | − | 0.0207167i | ||||
\(737\) | 57.8220 | + | 100.151i | 0.0784559 | + | 0.135890i | ||||
\(738\) | −984.629 | + | 847.076i | −1.33419 | + | 1.14780i | ||||
\(739\) | 8.61538 | + | 4.97409i | 0.0116582 | + | 0.00673084i | 0.505818 | − | 0.862640i | \(-0.331191\pi\) |
−0.494160 | + | 0.869371i | \(0.664524\pi\) | |||||||
\(740\) | −80.7796 | + | 534.812i | −0.109162 | + | 0.722718i | ||||
\(741\) | 116.790 | 0.157612 | ||||||||
\(742\) | −653.695 | + | 159.910i | −0.880991 | + | 0.215512i | ||||
\(743\) | − | 1171.22i | − | 1.57634i | −0.615460 | − | 0.788168i | \(-0.711030\pi\) | ||
0.615460 | − | 0.788168i | \(-0.288970\pi\) | |||||||
\(744\) | 338.931 | − | 640.566i | 0.455552 | − | 0.860976i | ||||
\(745\) | 460.240 | − | 797.159i | 0.617772 | − | 1.07001i | ||||
\(746\) | −12.4454 | + | 10.7068i | −0.0166828 | + | 0.0143522i | ||||
\(747\) | 120.998 | − | 69.8580i | 0.161978 | − | 0.0935181i | ||||
\(748\) | −74.0343 | + | 92.7771i | −0.0989764 | + | 0.124034i | ||||
\(749\) | 8.28821 | − | 16.2951i | 0.0110657 | − | 0.0217557i | ||||
\(750\) | −354.759 | + | 1013.34i | −0.473012 | + | 1.35112i | ||||
\(751\) | −697.394 | + | 402.641i | −0.928620 | + | 0.536139i | −0.886375 | − | 0.462968i | \(-0.846784\pi\) |
−0.0422454 | + | 0.999107i | \(0.513451\pi\) | |||||||
\(752\) | 100.398 | − | 324.766i | 0.133508 | − | 0.431870i | ||||
\(753\) | −936.627 | + | 1622.29i | −1.24386 | + | 2.15443i | ||||
\(754\) | 48.2828 | + | 255.398i | 0.0640356 | + | 0.338724i | ||||
\(755\) | − | 418.590i | − | 0.554424i | ||||||
\(756\) | 291.335 | + | 208.181i | 0.385364 | + | 0.275371i | ||||
\(757\) | 231.613 | 0.305962 | 0.152981 | − | 0.988229i | \(-0.451113\pi\) | ||||
0.152981 | + | 0.988229i | \(0.451113\pi\) | |||||||
\(758\) | −102.062 | + | 19.2948i | −0.134646 | + | 0.0254548i | ||||
\(759\) | 36.9741 | + | 21.3470i | 0.0487143 | + | 0.0281252i | ||||
\(760\) | 12.0500 | + | 326.103i | 0.0158552 | + | 0.429082i | ||||
\(761\) | 627.730 | + | 1087.26i | 0.824875 | + | 1.42873i | 0.902014 | + | 0.431706i | \(0.142088\pi\) |
−0.0771390 | + | 0.997020i | \(0.524579\pi\) | |||||||
\(762\) | −460.445 | − | 161.197i | −0.604259 | − | 0.211544i | ||||
\(763\) | −2.87184 | − | 54.0651i | −0.00376388 | − | 0.0708586i | ||||
\(764\) | 105.651 | − | 132.398i | 0.138287 | − | 0.173296i | ||||
\(765\) | −415.408 | − | 719.507i | −0.543017 | − | 0.940532i | ||||
\(766\) | 141.727 | + | 164.741i | 0.185022 | + | 0.215067i | ||||
\(767\) | 220.275 | + | 127.176i | 0.287190 | + | 0.165809i | ||||
\(768\) | 658.955 | − | 963.937i | 0.858014 | − | 1.25513i | ||||
\(769\) | 496.997 | 0.646291 | 0.323145 | − | 0.946349i | \(-0.395260\pi\) | ||||
0.323145 | + | 0.946349i | \(0.395260\pi\) | |||||||
\(770\) | 117.662 | − | 112.621i | 0.152808 | − | 0.146261i | ||||
\(771\) | 1576.20i | 2.04436i | ||||||||
\(772\) | 166.556 | − | 1102.70i | 0.215746 | − | 1.42837i | ||||
\(773\) | −156.922 | + | 271.796i | −0.203003 | + | 0.351612i | −0.949495 | − | 0.313783i | \(-0.898404\pi\) |
0.746491 | + | 0.665395i | \(0.231737\pi\) | |||||||
\(774\) | 1204.97 | + | 1400.64i | 1.55681 | + | 1.80961i | ||||
\(775\) | 44.6361 | − | 25.7707i | 0.0575950 | − | 0.0332525i | ||||
\(776\) | 597.563 | + | 952.000i | 0.770056 | + | 1.22680i | ||||
\(777\) | −448.099 | − | 688.943i | −0.576704 | − | 0.886671i | ||||
\(778\) | −193.982 | − | 67.9108i | −0.249334 | − | 0.0872890i | ||||
\(779\) | 369.987 | − | 213.612i | 0.474951 | − | 0.274213i | ||||
\(780\) | −115.370 | − | 294.227i | −0.147911 | − | 0.377214i | ||||
\(781\) | 99.7717 | − | 172.810i | 0.127749 | − | 0.221267i | ||||
\(782\) | −111.292 | + | 21.0396i | −0.142317 | + | 0.0269049i | ||||
\(783\) | 504.002i | 0.643681i | ||||||||
\(784\) | −253.987 | − | 741.719i | −0.323963 | − | 0.946070i | ||||
\(785\) | 563.904 | 0.718349 | ||||||||
\(786\) | 219.541 | + | 1161.29i | 0.279314 | + | 1.47746i | ||||
\(787\) | −384.151 | − | 221.789i | −0.488120 | − | 0.281816i | 0.235674 | − | 0.971832i | \(-0.424270\pi\) |
−0.723794 | + | 0.690016i | \(0.757604\pi\) | |||||||
\(788\) | −236.617 | + | 92.7808i | −0.300276 | + | 0.117742i | ||||
\(789\) | −690.666 | − | 1196.27i | −0.875369 | − | 1.51618i | ||||
\(790\) | 457.109 | − | 1305.69i | 0.578620 | − | 1.65278i | ||||
\(791\) | −202.736 | + | 131.863i | −0.256304 | + | 0.166704i | ||||
\(792\) | −177.128 | + | 111.182i | −0.223646 | + | 0.140381i | ||||
\(793\) | −78.2743 | − | 135.575i | −0.0987066 | − | 0.170965i | ||||
\(794\) | 593.287 | − | 510.404i | 0.747213 | − | 0.642827i | ||||
\(795\) | 997.436 | + | 575.870i | 1.25464 | + | 0.724365i | ||||
\(796\) | −531.377 | − | 80.2607i | −0.667559 | − | 0.100830i | ||||
\(797\) | 338.961 | 0.425296 | 0.212648 | − | 0.977129i | \(-0.431791\pi\) | ||||
0.212648 | + | 0.977129i | \(0.431791\pi\) | |||||||
\(798\) | −342.856 | − | 358.203i | −0.429645 | − | 0.448876i | ||||
\(799\) | − | 284.668i | − | 0.356280i | ||||||
\(800\) | 76.1401 | − | 33.1493i | 0.0951752 | − | 0.0414367i | ||||
\(801\) | 183.630 | − | 318.056i | 0.229250 | − | 0.397073i | ||||
\(802\) | −334.083 | + | 287.412i | −0.416563 | + | 0.358369i | ||||
\(803\) | −79.7774 | + | 46.0595i | −0.0993492 | + | 0.0573593i | ||||
\(804\) | −744.651 | − | 594.218i | −0.926183 | − | 0.739077i | ||||
\(805\) | 155.200 | − | 8.24394i | 0.192795 | − | 0.0102409i | ||||
\(806\) | 43.2809 | − | 123.628i | 0.0536984 | − | 0.153385i | ||||
\(807\) | 1403.59 | − | 810.365i | 1.73927 | − | 1.00417i | ||||
\(808\) | 337.990 | − | 12.4892i | 0.418304 | − | 0.0154569i | ||||
\(809\) | 468.506 | − | 811.477i | 0.579118 | − | 1.00306i | −0.416463 | − | 0.909153i | \(-0.636731\pi\) |
0.995581 | − | 0.0939086i | \(-0.0299362\pi\) | |||||||
\(810\) | 93.4927 | + | 494.541i | 0.115423 | + | 0.610544i | ||||
\(811\) | 435.479i | 0.536965i | 0.963285 | + | 0.268482i | \(0.0865221\pi\) | ||||
−0.963285 | + | 0.268482i | \(0.913478\pi\) | |||||||
\(812\) | 641.577 | − | 897.845i | 0.790119 | − | 1.10572i | ||||
\(813\) | −2177.16 | −2.67794 | ||||||||
\(814\) | 112.030 | − | 21.1792i | 0.137629 | − | 0.0260187i | ||||
\(815\) | −382.205 | − | 220.666i | −0.468963 | − | 0.270756i | ||||
\(816\) | 288.797 | − | 934.199i | 0.353918 | − | 1.14485i | ||||
\(817\) | −303.865 | − | 526.309i | −0.371927 | − | 0.644197i | ||||
\(818\) | 1010.51 | + | 353.770i | 1.23535 | + | 0.432482i | ||||
\(819\) | 242.855 | + | 123.524i | 0.296527 | + | 0.150823i | ||||
\(820\) | −903.635 | − | 721.083i | −1.10199 | − | 0.879370i | ||||
\(821\) | 80.4273 | + | 139.304i | 0.0979627 | + | 0.169676i | 0.910841 | − | 0.412757i | \(-0.135434\pi\) |
−0.812879 | + | 0.582433i | \(0.802101\pi\) | |||||||
\(822\) | −969.312 | − | 1126.71i | −1.17921 | − | 1.37070i | ||||
\(823\) | 1336.09 | + | 771.393i | 1.62344 | + | 0.937294i | 0.985990 | + | 0.166804i | \(0.0533446\pi\) |
0.637451 | + | 0.770491i | \(0.279989\pi\) | |||||||
\(824\) | 684.870 | + | 362.372i | 0.831153 | + | 0.439772i | ||||
\(825\) | −26.2140 | −0.0317745 | ||||||||
\(826\) | −256.596 | − | 1048.94i | −0.310649 | − | 1.26990i | ||||
\(827\) | 888.264i | 1.07408i | 0.843557 | + | 0.537040i | \(0.180458\pi\) | ||||
−0.843557 | + | 0.537040i | \(0.819542\pi\) | |||||||
\(828\) | −197.320 | − | 29.8039i | −0.238310 | − | 0.0359950i | ||||
\(829\) | −108.276 | + | 187.539i | −0.130610 | + | 0.226223i | −0.923912 | − | 0.382605i | \(-0.875027\pi\) |
0.793302 | + | 0.608828i | \(0.208360\pi\) | |||||||
\(830\) | 81.1022 | + | 94.2720i | 0.0977135 | + | 0.113581i | ||||
\(831\) | −351.293 | + | 202.819i | −0.422736 | + | 0.244067i | ||||
\(832\) | 91.7452 | − | 190.058i | 0.110271 | − | 0.228435i | ||||
\(833\) | −386.659 | − | 530.608i | −0.464177 | − | 0.636985i | ||||
\(834\) | −2145.93 | − | 751.266i | −2.57306 | − | 0.900799i | ||||
\(835\) | 27.6897 | − | 15.9867i | 0.0331613 | − | 0.0191457i | ||||
\(836\) | 64.0406 | − | 25.1112i | 0.0766036 | − | 0.0300373i | ||||
\(837\) | 126.994 | − | 219.960i | 0.151725 | − | 0.262796i | ||||
\(838\) | 1081.20 | − | 204.400i | 1.29021 | − | 0.243914i | ||||
\(839\) | − | 370.077i | − | 0.441092i | −0.975377 | − | 0.220546i | \(-0.929216\pi\) | ||
0.975377 | − | 0.220546i | \(-0.0707840\pi\) | |||||||
\(840\) | −563.723 | + | 1217.60i | −0.671098 | + | 1.44952i | ||||
\(841\) | 712.249 | 0.846908 | ||||||||
\(842\) | 174.644 | + | 923.800i | 0.207416 | + | 1.09715i | ||||
\(843\) | −774.028 | − | 446.885i | −0.918182 | − | 0.530113i | ||||
\(844\) | 349.552 | + | 891.458i | 0.414162 | + | 1.05623i | ||||
\(845\) | 415.327 | + | 719.367i | 0.491511 | + | 0.851322i | ||||
\(846\) | 165.727 | − | 473.386i | 0.195895 | − | 0.559558i | ||||
\(847\) | 724.353 | + | 368.430i | 0.855198 | + | 0.434982i | ||||
\(848\) | 170.678 | + | 749.931i | 0.201271 | + | 0.884353i | ||||
\(849\) | 840.253 | + | 1455.36i | 0.989697 | + | 1.71421i | ||||
\(850\) | 52.7186 | − | 45.3538i | 0.0620219 | − | 0.0533574i | ||||
\(851\) | 94.2201 | + | 54.3980i | 0.110717 | + | 0.0639224i | ||||
\(852\) | −245.507 | + | 1625.41i | −0.288154 | + | 1.90776i | ||||
\(853\) | −459.525 | −0.538716 | −0.269358 | − | 0.963040i | \(-0.586811\pi\) | ||||
−0.269358 | + | 0.963040i | \(0.586811\pi\) | |||||||
\(854\) | −186.030 | + | 638.073i | −0.217834 | + | 0.747158i | ||||
\(855\) | 481.483i | 0.563138i | ||||||||
\(856\) | −18.4677 | − | 9.77145i | −0.0215744 | − | 0.0114152i | ||||
\(857\) | 31.0889 | − | 53.8476i | 0.0362764 | − | 0.0628326i | −0.847317 | − | 0.531087i | \(-0.821784\pi\) |
0.883594 | + | 0.468255i | \(0.155117\pi\) | |||||||
\(858\) | −50.5022 | + | 43.4470i | −0.0588604 | + | 0.0506376i | ||||
\(859\) | −1139.98 | + | 658.169i | −1.32710 | + | 0.766204i | −0.984851 | − | 0.173404i | \(-0.944523\pi\) |
−0.342254 | + | 0.939608i | \(0.611190\pi\) | |||||||
\(860\) | −1025.75 | + | 1285.43i | −1.19273 | + | 1.49468i | ||||
\(861\) | 1754.16 | − | 93.1775i | 2.03735 | − | 0.108220i | ||||
\(862\) | 407.937 | − | 1165.24i | 0.473244 | − | 1.35178i | ||||
\(863\) | −459.711 | + | 265.415i | −0.532690 | + | 0.307549i | −0.742111 | − | 0.670277i | \(-0.766175\pi\) |
0.209421 | + | 0.977826i | \(0.432842\pi\) | |||||||
\(864\) | 243.261 | − | 329.073i | 0.281552 | − | 0.380871i | ||||
\(865\) | 366.538 | − | 634.862i | 0.423743 | − | 0.733945i | ||||
\(866\) | −70.5598 | − | 373.235i | −0.0814779 | − | 0.430987i | ||||
\(867\) | 499.307i | 0.575902i | ||||||||
\(868\) | −506.232 | + | 230.185i | −0.583217 | + | 0.265190i | ||||
\(869\) | −291.613 | −0.335574 | ||||||||
\(870\) | −1855.72 | + | 350.823i | −2.13301 | + | 0.403245i | ||||
\(871\) | −149.121 | − | 86.0950i | −0.171207 | − | 0.0988462i | ||||
\(872\) | −61.8336 | + | 2.28484i | −0.0709101 | + | 0.00262023i | ||||
\(873\) | 829.217 | + | 1436.25i | 0.949848 | + | 1.64519i | ||||
\(874\) | 61.9525 | + | 21.6889i | 0.0708839 | + | 0.0248157i | ||||
\(875\) | 690.635 | − | 449.199i | 0.789297 | − | 0.513371i | ||||
\(876\) | 473.338 | − | 593.170i | 0.540340 | − | 0.677134i | ||||
\(877\) | −563.178 | − | 975.453i | −0.642165 | − | 1.11226i | −0.984949 | − | 0.172847i | \(-0.944703\pi\) |
0.342784 | − | 0.939414i | \(-0.388630\pi\) | |||||||
\(878\) | −117.563 | − | 136.653i | −0.133898 | − | 0.155641i | ||||
\(879\) | −1215.82 | − | 701.953i | −1.38318 | − | 0.798581i | ||||
\(880\) | −126.524 | − | 136.530i | −0.143777 | − | 0.155148i | ||||
\(881\) | −294.364 | −0.334125 | −0.167062 | − | 0.985946i | \(-0.553428\pi\) | ||||
−0.167062 | + | 0.985946i | \(0.553428\pi\) | |||||||
\(882\) | −334.083 | − | 1107.48i | −0.378779 | − | 1.25564i | ||||
\(883\) | 908.203i | 1.02854i | 0.857628 | + | 0.514271i | \(0.171938\pi\) | ||||
−0.857628 | + | 0.514271i | \(0.828062\pi\) | |||||||
\(884\) | 26.3950 | − | 174.752i | 0.0298586 | − | 0.197683i | ||||
\(885\) | −924.059 | + | 1600.52i | −1.04413 | + | 1.80849i | ||||
\(886\) | 301.029 | + | 349.912i | 0.339762 | + | 0.394934i | ||||
\(887\) | 737.152 | − | 425.595i | 0.831062 | − | 0.479814i | −0.0231543 | − | 0.999732i | \(-0.507371\pi\) |
0.854216 | + | 0.519918i | \(0.174038\pi\) | |||||||
\(888\) | −795.523 | + | 499.344i | −0.895860 | + | 0.562325i | ||||
\(889\) | 204.109 | + | 313.813i | 0.229594 | + | 0.352996i | ||||
\(890\) | 308.527 | + | 108.012i | 0.346659 | + | 0.121362i | ||||
\(891\) | 91.8796 | − | 53.0467i | 0.103120 | − | 0.0595361i | ||||
\(892\) | 2.18731 | + | 5.57826i | 0.00245214 | + | 0.00625366i | ||||
\(893\) | −82.4869 | + | 142.872i | −0.0923706 | + | 0.159991i | ||||
\(894\) | 1570.63 | − | 296.927i | 1.75686 | − | 0.332133i | ||||
\(895\) | − | 817.905i | − | 0.913860i | ||||||
\(896\) | −852.251 | + | 276.558i | −0.951173 | + | 0.308658i | ||||
\(897\) | −63.5700 | −0.0708696 | ||||||||
\(898\) | −65.4053 | − | 345.969i | −0.0728344 | − | 0.385266i | ||||
\(899\) | −677.879 | − | 391.374i | −0.754037 | − | 0.435343i | ||||
\(900\) | 114.072 | − | 44.7291i | 0.126747 | − | 0.0496990i | ||||
\(901\) | 322.037 | + | 557.784i | 0.357422 | + | 0.619073i | ||||
\(902\) | −80.5233 | + | 230.008i | −0.0892720 | + | 0.254998i | ||||
\(903\) | −132.546 | − | 2495.30i | −0.146784 | − | 2.76334i | ||||
\(904\) | 146.943 | + | 234.100i | 0.162547 | + | 0.258960i | ||||
\(905\) | −255.109 | − | 441.861i | −0.281888 | − | 0.488245i | ||||
\(906\) | 551.042 | − | 474.061i | 0.608214 | − | 0.523246i | ||||
\(907\) | −896.755 | − | 517.742i | −0.988704 | − | 0.570829i | −0.0838175 | − | 0.996481i | \(-0.526711\pi\) |
−0.904887 | + | 0.425653i | \(0.860045\pi\) | |||||||
\(908\) | 58.7732 | + | 8.87728i | 0.0647282 | + | 0.00977674i | ||||
\(909\) | 499.034 | 0.548993 | ||||||||
\(910\) | −67.8786 | + | 232.820i | −0.0745919 | + | 0.255846i | ||||
\(911\) | 1106.93i | 1.21507i | 0.794293 | + | 0.607535i | \(0.207842\pi\) | ||||
−0.794293 | + | 0.607535i | \(0.792158\pi\) | |||||||
\(912\) | −415.643 | + | 385.180i | −0.455749 | + | 0.422347i | ||||
\(913\) | 13.1070 | − | 22.7020i | 0.0143560 | − | 0.0248652i | ||||
\(914\) | 67.7821 | − | 58.3129i | 0.0741599 | − | 0.0637997i | ||||
\(915\) | 985.088 | − | 568.741i | 1.07660 | − | 0.621575i | ||||
\(916\) | 839.144 | + | 669.621i | 0.916096 | + | 0.731027i | ||||
\(917\) | 411.154 | − | 808.350i | 0.448369 | − | 0.881516i | ||||
\(918\) | 113.236 | − | 323.448i | 0.123350 | − | 0.352340i | ||||
\(919\) | −1287.15 | + | 743.136i | −1.40060 | + | 0.808635i | −0.994454 | − | 0.105174i | \(-0.966460\pi\) |
−0.406144 | + | 0.913809i | \(0.633127\pi\) | |||||||
\(920\) | −6.55889 | − | 177.500i | −0.00712923 | − | 0.192935i | ||||
\(921\) | −438.055 | + | 758.733i | −0.475629 | + | 0.823814i | ||||
\(922\) | −108.160 | − | 572.128i | −0.117311 | − | 0.620529i | ||||
\(923\) | 297.113i | 0.321900i | ||||||||
\(924\) | 281.512 | + | 27.3476i | 0.304666 | + | 0.0295969i | ||||
\(925\) | −66.8002 | −0.0722165 | ||||||||
\(926\) | 463.325 | − | 87.5913i | 0.500351 | − | 0.0945910i | ||||
\(927\) | 990.073 | + | 571.619i | 1.06804 | + | 0.616633i | ||||
\(928\) | −1014.15 | − | 749.690i | −1.09283 | − | 0.807855i | ||||
\(929\) | −801.416 | − | 1388.09i | −0.862665 | − | 1.49418i | −0.869347 | − | 0.494203i | \(-0.835460\pi\) |
0.00668122 | − | 0.999978i | \(-0.497873\pi\) | |||||||
\(930\) | 898.282 | + | 314.479i | 0.965895 | + | 0.338149i | ||||
\(931\) | 40.3079 | + | 378.347i | 0.0432952 | + | 0.406387i | ||||
\(932\) | 258.217 | + | 206.052i | 0.277057 | + | 0.221086i | ||||
\(933\) | −1161.40 | − | 2011.60i | −1.24480 | − | 2.15606i | ||||
\(934\) | 383.178 | + | 445.401i | 0.410255 | + | 0.476875i | ||||
\(935\) | −134.996 | − | 77.9401i | −0.144381 | − | 0.0833584i | ||||
\(936\) | 145.630 | − | 275.235i | 0.155588 | − | 0.294055i | ||||
\(937\) | −1446.12 | −1.54335 | −0.771675 | − | 0.636017i | \(-0.780581\pi\) | ||||
−0.771675 | + | 0.636017i | \(0.780581\pi\) | |||||||
\(938\) | 173.709 | + | 710.107i | 0.185191 | + | 0.757044i | ||||
\(939\) | − | 1464.16i | − | 1.55927i | ||||||
\(940\) | 441.416 | + | 66.6728i | 0.469591 | + | 0.0709285i | ||||
\(941\) | 152.094 | − | 263.435i | 0.161631 | − | 0.279952i | −0.773823 | − | 0.633402i | \(-0.781658\pi\) |
0.935454 | + | 0.353449i | \(0.114991\pi\) | |||||||
\(942\) | 638.632 | + | 742.337i | 0.677953 | + | 0.788043i | ||||
\(943\) | −201.387 | + | 116.271i | −0.213560 | + | 0.123299i | ||||
\(944\) | −1203.36 | + | 273.874i | −1.27475 | + | 0.290121i | ||||
\(945\) | −213.191 | + | 419.144i | −0.225599 | + | 0.443539i | ||||
\(946\) | 327.188 | + | 114.545i | 0.345865 | + | 0.121083i | ||||
\(947\) | 1019.53 | − | 588.627i | 1.07659 | − | 0.621571i | 0.146617 | − | 0.989193i | \(-0.453162\pi\) |
0.929975 | + | 0.367623i | \(0.119828\pi\) | |||||||
\(948\) | 2236.53 | − | 876.974i | 2.35921 | − | 0.925078i | ||||
\(949\) | 68.5810 | − | 118.786i | 0.0722666 | − | 0.125169i | ||||
\(950\) | −39.6008 | + | 7.48652i | −0.0416851 | + | 0.00788055i | ||||
\(951\) | − | 445.913i | − | 0.468889i | ||||||
\(952\) | −613.460 | + | 432.056i | −0.644390 | + | 0.453840i | ||||
\(953\) | −884.296 | −0.927908 | −0.463954 | − | 0.885859i | \(-0.653570\pi\) | ||||
−0.463954 | + | 0.885859i | \(0.653570\pi\) | |||||||
\(954\) | 210.799 | + | 1115.05i | 0.220963 | + | 1.16881i | ||||
\(955\) | 192.647 | + | 111.225i | 0.201725 | + | 0.116466i | ||||
\(956\) | 299.821 | + | 764.629i | 0.313620 | + | 0.799821i | ||||
\(957\) | 199.053 | + | 344.770i | 0.207997 | + | 0.360261i | ||||
\(958\) | 426.735 | − | 1218.93i | 0.445444 | − | 1.27237i | ||||
\(959\) | 60.4966 | + | 1138.91i | 0.0630830 | + | 1.18760i | ||||
\(960\) | 1380.96 | + | 666.620i | 1.43850 | + | 0.694396i | ||||
\(961\) | −283.270 | − | 490.639i | −0.294766 | − | 0.510550i | ||||
\(962\) | −128.693 | + | 110.715i | −0.133777 | + | 0.115088i | ||||
\(963\) | −26.6975 | − | 15.4138i | −0.0277233 | − | 0.0160061i | ||||
\(964\) | −9.23314 | + | 61.1292i | −0.00957794 | + | 0.0634120i | ||||
\(965\) | 1464.58 | 1.51770 | ||||||||
\(966\) | 186.620 | + | 194.973i | 0.193188 | + | 0.201835i | ||||
\(967\) | 293.782i | 0.303807i | 0.988395 | + | 0.151904i | \(0.0485404\pi\) | ||||
−0.988395 | + | 0.151904i | \(0.951460\pi\) | |||||||
\(968\) | 434.363 | − | 820.931i | 0.448723 | − | 0.848069i | ||||
\(969\) | −237.276 | + | 410.974i | −0.244867 | + | 0.424122i | ||||
\(970\) | −1119.01 | + | 962.686i | −1.15362 | + | 0.992460i | ||||
\(971\) | 456.358 | − | 263.478i | 0.469988 | − | 0.271347i | −0.246247 | − | 0.969207i | \(-0.579197\pi\) |
0.716235 | + | 0.697860i | \(0.245864\pi\) | |||||||
\(972\) | −832.296 | + | 1043.00i | −0.856271 | + | 1.07305i | ||||
\(973\) | 951.261 | + | 1462.54i | 0.977658 | + | 1.50313i | ||||
\(974\) | −113.868 | + | 325.255i | −0.116908 | + | 0.333937i | ||||
\(975\) | 33.8025 | − | 19.5159i | 0.0346692 | − | 0.0200163i | ||||
\(976\) | 725.701 | + | 224.342i | 0.743547 | + | 0.229859i | ||||
\(977\) | −113.590 | + | 196.743i | −0.116264 | + | 0.201375i | −0.918284 | − | 0.395922i | \(-0.870425\pi\) |
0.802020 | + | 0.597297i | \(0.203758\pi\) | |||||||
\(978\) | −142.364 | − | 753.052i | −0.145567 | − | 0.769992i | ||||
\(979\) | − | 68.9063i | − | 0.0703844i | ||||||
\(980\) | 913.340 | − | 475.292i | 0.931980 | − | 0.484992i | ||||
\(981\) | −91.2959 | −0.0930642 | ||||||||
\(982\) | 849.244 | − | 160.549i | 0.864811 | − | 0.163492i | ||||
\(983\) | −677.954 | − | 391.417i | −0.689678 | − | 0.398186i | 0.113813 | − | 0.993502i | \(-0.463693\pi\) |
−0.803491 | + | 0.595316i | \(0.797027\pi\) | |||||||
\(984\) | −74.1322 | − | 2006.21i | −0.0753376 | − | 2.03883i | ||||
\(985\) | −166.890 | − | 289.061i | −0.169431 | − | 0.293463i | ||||
\(986\) | −996.812 | − | 348.973i | −1.01097 | − | 0.353928i | ||||
\(987\) | −568.631 | + | 369.846i | −0.576121 | + | 0.374718i | ||||
\(988\) | −63.8844 | + | 80.0575i | −0.0646603 | + | 0.0810299i | ||||
\(989\) | 165.396 | + | 286.474i | 0.167236 | + | 0.289661i | ||||
\(990\) | −179.116 | − | 208.202i | −0.180925 | − | 0.210305i | ||||
\(991\) | −1561.30 | − | 901.419i | −1.57548 | − | 0.909606i | −0.995478 | − | 0.0949931i | \(-0.969717\pi\) |
−0.580005 | − | 0.814613i | \(-0.696950\pi\) | |||||||
\(992\) | 253.700 | + | 582.720i | 0.255746 | + | 0.587419i | ||||
\(993\) | 1392.88 | 1.40270 | ||||||||
\(994\) | 911.263 | − | 872.222i | 0.916764 | − | 0.877487i | ||||
\(995\) | − | 705.760i | − | 0.709306i | ||||||
\(996\) | −32.2522 | + | 213.530i | −0.0323817 | + | 0.214387i | ||||
\(997\) | −687.983 | + | 1191.62i | −0.690053 | + | 1.19521i | 0.281767 | + | 0.959483i | \(0.409079\pi\) |
−0.971820 | + | 0.235724i | \(0.924254\pi\) | |||||||
\(998\) | −642.306 | − | 746.607i | −0.643593 | − | 0.748104i | ||||
\(999\) | −285.079 | + | 164.591i | −0.285365 | + | 0.164755i |
(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 | 28.3.g.a.11.3 | yes | 12 | |
3.2 | odd | 2 | 252.3.y.c.235.4 | 12 | |||
4.3 | odd | 2 | inner | 28.3.g.a.11.2 | ✓ | 12 | |
7.2 | even | 3 | inner | 28.3.g.a.23.2 | yes | 12 | |
7.3 | odd | 6 | 196.3.c.h.99.6 | 6 | |||
7.4 | even | 3 | 196.3.c.i.99.6 | 6 | |||
7.5 | odd | 6 | 196.3.g.i.79.2 | 12 | |||
7.6 | odd | 2 | 196.3.g.i.67.3 | 12 | |||
8.3 | odd | 2 | 448.3.r.h.319.6 | 12 | |||
8.5 | even | 2 | 448.3.r.h.319.1 | 12 | |||
12.11 | even | 2 | 252.3.y.c.235.5 | 12 | |||
21.2 | odd | 6 | 252.3.y.c.163.5 | 12 | |||
28.3 | even | 6 | 196.3.c.h.99.5 | 6 | |||
28.11 | odd | 6 | 196.3.c.i.99.5 | 6 | |||
28.19 | even | 6 | 196.3.g.i.79.3 | 12 | |||
28.23 | odd | 6 | inner | 28.3.g.a.23.3 | yes | 12 | |
28.27 | even | 2 | 196.3.g.i.67.2 | 12 | |||
56.37 | even | 6 | 448.3.r.h.191.6 | 12 | |||
56.51 | odd | 6 | 448.3.r.h.191.1 | 12 | |||
84.23 | even | 6 | 252.3.y.c.163.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.g.a.11.2 | ✓ | 12 | 4.3 | odd | 2 | inner | |
28.3.g.a.11.3 | yes | 12 | 1.1 | even | 1 | trivial | |
28.3.g.a.23.2 | yes | 12 | 7.2 | even | 3 | inner | |
28.3.g.a.23.3 | yes | 12 | 28.23 | odd | 6 | inner | |
196.3.c.h.99.5 | 6 | 28.3 | even | 6 | |||
196.3.c.h.99.6 | 6 | 7.3 | odd | 6 | |||
196.3.c.i.99.5 | 6 | 28.11 | odd | 6 | |||
196.3.c.i.99.6 | 6 | 7.4 | even | 3 | |||
196.3.g.i.67.2 | 12 | 28.27 | even | 2 | |||
196.3.g.i.67.3 | 12 | 7.6 | odd | 2 | |||
196.3.g.i.79.2 | 12 | 7.5 | odd | 6 | |||
196.3.g.i.79.3 | 12 | 28.19 | even | 6 | |||
252.3.y.c.163.4 | 12 | 84.23 | even | 6 | |||
252.3.y.c.163.5 | 12 | 21.2 | odd | 6 | |||
252.3.y.c.235.4 | 12 | 3.2 | odd | 2 | |||
252.3.y.c.235.5 | 12 | 12.11 | even | 2 | |||
448.3.r.h.191.1 | 12 | 56.51 | odd | 6 | |||
448.3.r.h.191.6 | 12 | 56.37 | even | 6 | |||
448.3.r.h.319.1 | 12 | 8.5 | even | 2 | |||
448.3.r.h.319.6 | 12 | 8.3 | odd | 2 |