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: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
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 | 23.2 | ||
Root | \(-2.29733 - 1.90372i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.23 |
Dual form | 28.3.g.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.51615 | + | 1.30434i | −0.758073 | + | 0.652170i | ||||
\(3\) | −3.95004 | + | 2.28056i | −1.31668 | + | 0.760186i | −0.983193 | − | 0.182569i | \(-0.941559\pi\) |
−0.333487 | + | 0.942755i | \(0.608225\pi\) | |||||||
\(4\) | 0.597396 | − | 3.95514i | 0.149349 | − | 0.988785i | ||||
\(5\) | −2.62655 | + | 4.54932i | −0.525310 | + | 0.909864i | 0.474255 | + | 0.880388i | \(0.342717\pi\) |
−0.999565 | + | 0.0294768i | \(0.990616\pi\) | |||||||
\(6\) | 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 | ||||
\(10\) | −1.95163 | − | 10.3234i | −0.195163 | − | 1.03234i | ||||
\(11\) | −1.91795 | + | 1.10733i | −0.174359 | + | 0.100666i | −0.584640 | − | 0.811293i | \(-0.698764\pi\) |
0.410281 | + | 0.911959i | \(0.365431\pi\) | |||||||
\(12\) | 6.66018 | + | 16.9854i | 0.555015 | + | 1.41545i | ||||
\(13\) | −3.29755 | −0.253658 | −0.126829 | − | 0.991925i | \(-0.540480\pi\) | ||||
−0.126829 | + | 0.991925i | \(0.540480\pi\) | |||||||
\(14\) | −13.8749 | + | 1.86729i | −0.991065 | + | 0.133378i | ||||
\(15\) | − | 23.9600i | − | 1.59733i | ||||||
\(16\) | −15.2862 | − | 4.72557i | −0.955390 | − | 0.295348i | ||||
\(17\) | 6.69943 | + | 11.6038i | 0.394084 | + | 0.682574i | 0.992984 | − | 0.118250i | \(-0.0377285\pi\) |
−0.598900 | + | 0.800824i | \(0.704395\pi\) | |||||||
\(18\) | 4.38531 | + | 23.1966i | 0.243629 | + | 1.28870i | ||||
\(19\) | 6.72474 | + | 3.88253i | 0.353934 | + | 0.204344i | 0.666416 | − | 0.745580i | \(-0.267827\pi\) |
−0.312483 | + | 0.949923i | \(0.601161\pi\) | |||||||
\(20\) | 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 | \(-0.362622\pi\) |
−0.577457 | + | 0.816421i | \(0.695955\pi\) | |||||||
\(24\) | −32.2525 | − | 17.0651i | −1.34385 | − | 0.711047i | ||||
\(25\) | −1.29755 | − | 2.24743i | −0.0519021 | − | 0.0898971i | ||||
\(26\) | 4.99957 | − | 4.30113i | 0.192291 | − | 0.165428i | ||||
\(27\) | 12.7883i | 0.473640i | ||||||||
\(28\) | 18.6008 | − | 20.9287i | 0.664315 | − | 0.747453i | ||||
\(29\) | 39.4113 | 1.35901 | 0.679505 | − | 0.733671i | \(-0.262195\pi\) | ||||
0.679505 | + | 0.733671i | \(0.262195\pi\) | |||||||
\(30\) | 31.2520 | + | 36.3269i | 1.04173 | + | 1.21090i | ||||
\(31\) | 17.2001 | − | 9.93050i | 0.554843 | − | 0.320339i | −0.196230 | − | 0.980558i | \(-0.562870\pi\) |
0.751073 | + | 0.660219i | \(0.229537\pi\) | |||||||
\(32\) | 29.3399 | − | 12.7738i | 0.916872 | − | 0.399181i | ||||
\(33\) | 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 | −0.638018 | − | 0.770022i | \(-0.720245\pi\) |
0.985867 | + | 0.167529i | \(0.0535787\pi\) | |||||||
\(38\) | −15.2598 | + | 2.88486i | −0.401574 | + | 0.0759174i | ||||
\(39\) | 13.0255 | − | 7.52026i | 0.333986 | − | 0.192827i | ||||
\(40\) | −41.9962 | + | 1.55182i | −1.04990 | + | 0.0387955i | ||||
\(41\) | −55.0188 | −1.34192 | −0.670961 | − | 0.741493i | \(-0.734118\pi\) | ||||
−0.670961 | + | 0.741493i | \(0.734118\pi\) | |||||||
\(42\) | 50.5480 | − | 39.0184i | 1.20352 | − | 0.929009i | ||||
\(43\) | 78.2646i | 1.82011i | 0.414490 | + | 0.910054i | \(0.363960\pi\) | ||||
−0.414490 | + | 0.910054i | \(0.636040\pi\) | |||||||
\(44\) | 3.23387 | + | 8.24728i | 0.0734969 | + | 0.187438i | ||||
\(45\) | 31.0032 | + | 53.6991i | 0.688960 | + | 1.19331i | ||||
\(46\) | 8.30605 | − | 1.57025i | 0.180566 | − | 0.0341360i | ||||
\(47\) | −18.3993 | − | 10.6228i | −0.391474 | − | 0.226018i | 0.291324 | − | 0.956624i | \(-0.405904\pi\) |
−0.682799 | + | 0.730607i | \(0.739237\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | −1.96994 | + | 13.0423i | −0.0378835 | + | 0.250813i | ||||
\(53\) | −24.0346 | − | 41.6292i | −0.453484 | − | 0.785457i | 0.545116 | − | 0.838361i | \(-0.316486\pi\) |
−0.998600 | + | 0.0529038i | \(0.983152\pi\) | |||||||
\(54\) | −16.6803 | − | 19.3889i | −0.308894 | − | 0.359053i | ||||
\(55\) | − | 11.6338i | − | 0.211524i | ||||||
\(56\) | −0.903445 | + | 55.9927i | −0.0161329 | + | 0.999870i | ||||
\(57\) | −35.4173 | −0.621356 | ||||||||
\(58\) | −59.7533 | + | 51.4057i | −1.03023 | + | 0.886305i | ||||
\(59\) | 66.7995 | − | 38.5667i | 1.13220 | − | 0.653673i | 0.187710 | − | 0.982225i | \(-0.439894\pi\) |
0.944486 | + | 0.328551i | \(0.106560\pi\) | |||||||
\(60\) | −94.7651 | − | 14.3136i | −1.57942 | − | 0.238560i | ||||
\(61\) | 23.7371 | − | 41.1138i | 0.389133 | − | 0.673997i | −0.603200 | − | 0.797590i | \(-0.706108\pi\) |
0.992333 | + | 0.123592i | \(0.0394415\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | 3.75282 | + | 19.8510i | 0.0568610 | + | 0.300773i | ||||
\(67\) | −45.2217 | + | 26.1088i | −0.674951 | + | 0.389683i | −0.797950 | − | 0.602724i | \(-0.794082\pi\) |
0.122999 | + | 0.992407i | \(0.460749\pi\) | |||||||
\(68\) | 49.8967 | − | 19.5651i | 0.733775 | − | 0.287723i | ||||
\(69\) | 19.2779 | 0.279390 | ||||||||
\(70\) | 27.9483 | − | 68.0260i | 0.399261 | − | 0.971800i | ||||
\(71\) | − | 90.1012i | − | 1.26903i | −0.772910 | − | 0.634515i | \(-0.781200\pi\) | ||
0.772910 | − | 0.634515i | \(-0.218800\pi\) | |||||||
\(72\) | 94.3657 | − | 3.48695i | 1.31063 | − | 0.0484298i | ||||
\(73\) | −20.7976 | − | 36.0224i | −0.284898 | − | 0.493458i | 0.687686 | − | 0.726008i | \(-0.258626\pi\) |
−0.972584 | + | 0.232550i | \(0.925293\pi\) | |||||||
\(74\) | 9.56321 | + | 50.5857i | 0.129233 | + | 0.683591i | ||||
\(75\) | 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 | \(-0.0197354\pi\) |
0.445380 | + | 0.895342i | \(0.353069\pi\) | |||||||
\(80\) | 61.6482 | − | 57.1301i | 0.770603 | − | 0.714126i | ||||
\(81\) | 23.9525 | + | 41.4870i | 0.295710 | + | 0.512185i | ||||
\(82\) | 83.4165 | − | 71.7632i | 1.01727 | − | 0.875161i | ||||
\(83\) | − | 11.8366i | − | 0.142609i | −0.997455 | − | 0.0713046i | \(-0.977284\pi\) | ||
0.997455 | − | 0.0713046i | \(-0.0227162\pi\) | |||||||
\(84\) | −25.7449 | + | 125.089i | −0.306487 | + | 1.48916i | ||||
\(85\) | −70.3856 | −0.828066 | ||||||||
\(86\) | −102.084 | − | 118.661i | −1.18702 | − | 1.37977i | ||||
\(87\) | −155.676 | + | 89.8797i | −1.78938 | + | 1.03310i | ||||
\(88\) | −15.6603 | − | 8.28601i | −0.177958 | − | 0.0941593i | ||||
\(89\) | −15.5569 | + | 26.9453i | −0.174796 | + | 0.302756i | −0.940091 | − | 0.340924i | \(-0.889260\pi\) |
0.765295 | + | 0.643680i | \(0.222593\pi\) | |||||||
\(90\) | −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 | ||||
\(94\) | 41.7518 | − | 7.89316i | 0.444168 | − | 0.0839697i | ||||
\(95\) | −35.3257 | + | 20.3953i | −0.371850 | + | 0.214688i | ||||
\(96\) | −86.7625 | + | 117.368i | −0.903776 | + | 1.22259i | ||||
\(97\) | 140.501 | 1.44846 | 0.724230 | − | 0.689559i | \(-0.242196\pi\) | ||||
0.724230 | + | 0.689559i | \(0.242196\pi\) | |||||||
\(98\) | −88.5446 | − | 41.9982i | −0.903517 | − | 0.428553i | ||||
\(99\) | 26.1413i | 0.264054i | ||||||||
\(100\) | −9.66404 | + | 3.78940i | −0.0966404 | + | 0.0378940i | ||||
\(101\) | 21.1388 | + | 36.6135i | 0.209295 | + | 0.362509i | 0.951493 | − | 0.307672i | \(-0.0995498\pi\) |
−0.742198 | + | 0.670181i | \(0.766216\pi\) | |||||||
\(102\) | 120.100 | − | 22.7049i | 1.17745 | − | 0.222597i | ||||
\(103\) | −83.8778 | − | 48.4268i | −0.814347 | − | 0.470164i | 0.0341161 | − | 0.999418i | \(-0.489138\pi\) |
−0.848463 | + | 0.529254i | \(0.822472\pi\) | |||||||
\(104\) | −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 | \(-0.329449\pi\) |
−0.489394 | + | 0.872063i | \(0.662782\pi\) | |||||||
\(108\) | 50.5794 | + | 7.63966i | 0.468328 | + | 0.0707376i | ||||
\(109\) | −3.86724 | − | 6.69825i | −0.0354793 | − | 0.0614519i | 0.847741 | − | 0.530411i | \(-0.177962\pi\) |
−0.883220 | + | 0.468959i | \(0.844629\pi\) | |||||||
\(110\) | 15.1745 | + | 17.6386i | 0.137950 | + | 0.160351i | ||||
\(111\) | 117.407i | 1.05772i | ||||||||
\(112\) | −71.6638 | − | 86.0715i | −0.639855 | − | 0.768496i | ||||
\(113\) | 34.5495 | 0.305748 | 0.152874 | − | 0.988246i | \(-0.451147\pi\) | ||||
0.152874 | + | 0.988246i | \(0.451147\pi\) | |||||||
\(114\) | 53.6978 | − | 46.1962i | 0.471033 | − | 0.405230i | ||||
\(115\) | 19.2281 | − | 11.1013i | 0.167201 | − | 0.0965335i | ||||
\(116\) | 23.5441 | − | 155.877i | 0.202967 | − | 1.34377i | ||||
\(117\) | −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 | ||||
\(122\) | 17.6375 | + | 93.2958i | 0.144570 | + | 0.764720i | ||||
\(123\) | 217.327 | − | 125.474i | 1.76688 | − | 1.02011i | ||||
\(124\) | −29.0012 | − | 73.9613i | −0.233881 | − | 0.596462i | ||||
\(125\) | −117.695 | −0.941562 | ||||||||
\(126\) | −62.8000 | + | 152.855i | −0.498413 | + | 1.21313i | ||||
\(127\) | − | 53.4789i | − | 0.421093i | −0.977584 | − | 0.210547i | \(-0.932476\pi\) | ||
0.977584 | − | 0.210547i | \(-0.0675244\pi\) | |||||||
\(128\) | −32.9946 | − | 123.674i | −0.257770 | − | 0.966206i | ||||
\(129\) | −178.487 | − | 309.148i | −1.38362 | − | 2.39650i | ||||
\(130\) | 6.43559 | + | 34.0418i | 0.0495045 | + | 0.261860i | ||||
\(131\) | 112.200 | + | 64.7790i | 0.856492 | + | 0.494496i | 0.862836 | − | 0.505484i | \(-0.168686\pi\) |
−0.00634380 | + | 0.999980i | \(0.502019\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | −50.1310 | + | 94.7458i | −0.368611 | + | 0.696661i | ||||
\(137\) | 81.4651 | + | 141.102i | 0.594636 | + | 1.02994i | 0.993598 | + | 0.112972i | \(0.0360372\pi\) |
−0.398962 | + | 0.916967i | \(0.630630\pi\) | |||||||
\(138\) | −29.2282 | + | 25.1450i | −0.211798 | + | 0.182210i | ||||
\(139\) | − | 249.241i | − | 1.79310i | −0.442941 | − | 0.896551i | \(-0.646065\pi\) | ||
0.442941 | − | 0.896551i | \(-0.353935\pi\) | |||||||
\(140\) | 46.3553 | + | 139.591i | 0.331109 | + | 0.997081i | ||||
\(141\) | 96.9039 | 0.687262 | ||||||||
\(142\) | 117.523 | + | 136.607i | 0.827624 | + | 0.962018i | ||||
\(143\) | 6.32454 | − | 3.65148i | 0.0442276 | − | 0.0255348i | ||||
\(144\) | −138.524 | + | 128.372i | −0.961972 | + | 0.891470i | ||||
\(145\) | −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 | −0.406487 | − | 0.913657i | \(-0.633246\pi\) |
0.994493 | − | 0.104800i | \(-0.0334204\pi\) | |||||||
\(150\) | −23.2611 | + | 4.39750i | −0.155074 | + | 0.0293167i | ||||
\(151\) | −69.0086 | + | 39.8421i | −0.457011 | + | 0.263855i | −0.710787 | − | 0.703408i | \(-0.751661\pi\) |
0.253776 | + | 0.967263i | \(0.418327\pi\) | |||||||
\(152\) | 2.29387 | + | 62.0781i | 0.0150913 | + | 0.408409i | ||||
\(153\) | 158.157 | 1.03371 | ||||||||
\(154\) | 24.5437 | − | 18.9455i | 0.159375 | − | 0.123023i | ||||
\(155\) | 104.332i | 0.673109i | ||||||||
\(156\) | −21.9623 | − | 56.0101i | −0.140784 | − | 0.359039i | ||||
\(157\) | −53.6734 | − | 92.9650i | −0.341869 | − | 0.592134i | 0.642911 | − | 0.765941i | \(-0.277726\pi\) |
−0.984780 | + | 0.173807i | \(0.944393\pi\) | |||||||
\(158\) | −258.765 | + | 48.9194i | −1.63775 | + | 0.309616i | ||||
\(159\) | 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 | \(-0.416301\pi\) |
−0.706295 | + | 0.707918i | \(0.749635\pi\) | |||||||
\(164\) | −32.8680 | + | 217.607i | −0.200415 | + | 1.32687i | ||||
\(165\) | 26.5316 | + | 45.9541i | 0.160798 | + | 0.278510i | ||||
\(166\) | 15.4389 | + | 17.9460i | 0.0930055 | + | 0.108108i | ||||
\(167\) | 6.08656i | 0.0364465i | 0.999834 | + | 0.0182232i | \(0.00580095\pi\) | ||||
−0.999834 | + | 0.0182232i | \(0.994199\pi\) | |||||||
\(168\) | −124.126 | − | 223.234i | −0.738845 | − | 1.32877i | ||||
\(169\) | −158.126 | −0.935658 | ||||||||
\(170\) | 106.715 | − | 91.8068i | 0.627735 | − | 0.540040i | ||||
\(171\) | 79.3772 | − | 45.8284i | 0.464194 | − | 0.268003i | ||||
\(172\) | 309.547 | + | 46.7550i | 1.79969 | + | 0.271831i | ||||
\(173\) | 69.7755 | − | 120.855i | 0.403327 | − | 0.698582i | −0.590798 | − | 0.806819i | \(-0.701187\pi\) |
0.994125 | + | 0.108237i | \(0.0345205\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | −11.5593 | − | 61.1444i | −0.0649400 | − | 0.343508i | ||||
\(179\) | −134.840 | + | 77.8496i | −0.753293 | + | 0.434914i | −0.826883 | − | 0.562374i | \(-0.809888\pi\) |
0.0735892 | + | 0.997289i | \(0.476555\pi\) | |||||||
\(180\) | 230.909 | − | 90.5423i | 1.28283 | − | 0.503013i | ||||
\(181\) | 97.1269 | 0.536613 | 0.268306 | − | 0.963334i | \(-0.413536\pi\) | ||||
0.268306 | + | 0.963334i | \(0.413536\pi\) | |||||||
\(182\) | 45.7533 | − | 6.15747i | 0.251392 | − | 0.0338323i | ||||
\(183\) | 216.535i | 1.18325i | ||||||||
\(184\) | −1.24857 | − | 33.7896i | −0.00678573 | − | 0.183639i | ||||
\(185\) | 67.6097 | + | 117.103i | 0.365458 | + | 0.632992i | ||||
\(186\) | −33.6552 | − | 178.023i | −0.180942 | − | 0.957114i | ||||
\(187\) | −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 | \(-0.297975\pi\) |
−0.400916 | + | 0.916115i | \(0.631308\pi\) | |||||||
\(192\) | −21.5437 | − | 291.115i | −0.112207 | − | 1.51623i | ||||
\(193\) | −139.401 | − | 241.450i | −0.722287 | − | 1.25104i | −0.960081 | − | 0.279722i | \(-0.909758\pi\) |
0.237794 | − | 0.971316i | \(-0.423576\pi\) | |||||||
\(194\) | −213.019 | + | 183.260i | −1.09804 | + | 0.944641i | ||||
\(195\) | 79.0094i | 0.405176i | ||||||||
\(196\) | 189.026 | − | 51.8169i | 0.964421 | − | 0.264372i | ||||
\(197\) | 63.5394 | 0.322535 | 0.161268 | − | 0.986911i | \(-0.448442\pi\) | ||||
0.161268 | + | 0.986911i | \(0.448442\pi\) | |||||||
\(198\) | −34.0971 | − | 39.6340i | −0.172208 | − | 0.200172i | ||||
\(199\) | −116.351 | + | 67.1755i | −0.584680 | + | 0.337565i | −0.762991 | − | 0.646409i | \(-0.776270\pi\) |
0.178311 | + | 0.983974i | \(0.442937\pi\) | |||||||
\(200\) | 9.70943 | − | 18.3505i | 0.0485471 | − | 0.0917523i | ||||
\(201\) | 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 | ||||
\(206\) | 190.336 | − | 35.9829i | 0.923961 | − | 0.174674i | ||||
\(207\) | −43.2057 | + | 24.9448i | −0.208723 | + | 0.120506i | ||||
\(208\) | 50.4072 | + | 15.5828i | 0.242342 | + | 0.0749173i | ||||
\(209\) | −17.1970 | −0.0822821 | ||||||||
\(210\) | 44.7402 | + | 332.443i | 0.213048 | + | 1.58306i | ||||
\(211\) | − | 239.385i | − | 1.13453i | −0.823536 | − | 0.567264i | \(-0.808002\pi\) | ||
0.823536 | − | 0.567264i | \(-0.191998\pi\) | |||||||
\(212\) | −179.008 | + | 70.1912i | −0.844375 | + | 0.331091i | ||||
\(213\) | 205.481 | + | 355.903i | 0.964699 | + | 1.67091i | ||||
\(214\) | −5.13245 | + | 0.970288i | −0.0239834 | + | 0.00453406i | ||||
\(215\) | −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 | ||||
\(220\) | −46.0134 | − | 6.95001i | −0.209152 | − | 0.0315909i | ||||
\(221\) | −22.0917 | − | 38.2640i | −0.0999626 | − | 0.173140i | ||||
\(222\) | −153.139 | − | 178.006i | −0.689814 | − | 0.801830i | ||||
\(223\) | − | 1.49794i | − | 0.00671723i | −0.999994 | − | 0.00335862i | \(-0.998931\pi\) | ||
0.999994 | − | 0.00335862i | \(-0.00106908\pi\) | |||||||
\(224\) | 220.919 | + | 37.0231i | 0.986246 | + | 0.165282i | ||||
\(225\) | −30.6320 | −0.136142 | ||||||||
\(226\) | −52.3821 | + | 45.0643i | −0.231779 | + | 0.199399i | ||||
\(227\) | 12.8691 | − | 7.42998i | 0.0566921 | − | 0.0327312i | −0.471386 | − | 0.881927i | \(-0.656246\pi\) |
0.528078 | + | 0.849196i | \(0.322913\pi\) | |||||||
\(228\) | −21.1582 | + | 140.080i | −0.0927989 | + | 0.614388i | ||||
\(229\) | −134.196 | + | 232.435i | −0.586010 | + | 1.01500i | 0.408738 | + | 0.912652i | \(0.365969\pi\) |
−0.994749 | + | 0.102348i | \(0.967364\pi\) | |||||||
\(230\) | −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 | −0.940930 | − | 0.338601i | \(-0.890046\pi\) |
0.763702 | + | 0.645569i | \(0.223380\pi\) | |||||||
\(234\) | −14.4608 | − | 76.4921i | −0.0617983 | − | 0.326889i | ||||
\(235\) | 96.6534 | − | 55.8029i | 0.411291 | − | 0.237459i | ||||
\(236\) | −112.631 | − | 287.241i | −0.477250 | − | 1.21712i | ||||
\(237\) | −600.581 | −2.53410 | ||||||||
\(238\) | −114.622 | − | 148.491i | −0.481603 | − | 0.623913i | ||||
\(239\) | − | 205.327i | − | 0.859111i | −0.903041 | − | 0.429555i | \(-0.858670\pi\) | ||
0.903041 | − | 0.429555i | \(-0.141330\pi\) | |||||||
\(240\) | −113.225 | + | 366.258i | −0.471769 | + | 1.52608i | ||||
\(241\) | 7.72782 | + | 13.3850i | 0.0320656 | + | 0.0555393i | 0.881613 | − | 0.471973i | \(-0.156458\pi\) |
−0.849547 | + | 0.527513i | \(0.823125\pi\) | |||||||
\(242\) | −43.1315 | − | 228.149i | −0.178229 | − | 0.942766i | ||||
\(243\) | −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 | ||||
\(248\) | 140.441 | + | 74.3087i | 0.566293 | + | 0.299632i | ||||
\(249\) | 26.9940 | + | 46.7549i | 0.108410 | + | 0.187771i | ||||
\(250\) | 178.443 | − | 153.515i | 0.713773 | − | 0.614058i | ||||
\(251\) | 410.701i | 1.63626i | 0.575034 | + | 0.818129i | \(0.304989\pi\) | ||||
−0.575034 | + | 0.818129i | \(0.695011\pi\) | |||||||
\(252\) | −104.161 | − | 313.663i | −0.413336 | − | 1.24469i | ||||
\(253\) | 9.36045 | 0.0369978 | ||||||||
\(254\) | 69.7546 | + | 81.0817i | 0.274624 | + | 0.319219i | ||||
\(255\) | 278.026 | − | 160.518i | 1.09030 | − | 0.629484i | ||||
\(256\) | 211.338 | + | 144.472i | 0.825539 | + | 0.564345i | ||||
\(257\) | 172.787 | − | 299.275i | 0.672322 | − | 1.16450i | −0.304922 | − | 0.952377i | \(-0.598630\pi\) |
0.977244 | − | 0.212118i | \(-0.0680362\pi\) | |||||||
\(258\) | 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 | ||||
\(262\) | −254.606 | + | 48.1332i | −0.971779 | + | 0.183714i | ||||
\(263\) | 262.276 | − | 151.425i | 0.997245 | − | 0.575760i | 0.0898132 | − | 0.995959i | \(-0.471373\pi\) |
0.907432 | + | 0.420199i | \(0.138040\pi\) | |||||||
\(264\) | 80.7554 | − | 2.98403i | 0.305892 | − | 0.0113031i | ||||
\(265\) | 252.513 | 0.952879 | ||||||||
\(266\) | −100.555 | − | 41.3127i | −0.378026 | − | 0.155311i | ||||
\(267\) | − | 141.913i | − | 0.531510i | ||||||
\(268\) | 76.2485 | + | 194.455i | 0.284509 | + | 0.725580i | ||||
\(269\) | 177.668 | + | 307.730i | 0.660476 | + | 1.14398i | 0.980491 | + | 0.196566i | \(0.0629790\pi\) |
−0.320014 | + | 0.947413i | \(0.603688\pi\) | |||||||
\(270\) | 132.018 | − | 24.9579i | 0.488955 | − | 0.0924367i | ||||
\(271\) | 413.381 | + | 238.666i | 1.52539 | + | 0.880685i | 0.999547 | + | 0.0301040i | \(0.00958384\pi\) |
0.525844 | + | 0.850581i | \(0.323749\pi\) | |||||||
\(272\) | −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 | ||||
\(276\) | 11.5166 | − | 76.2469i | 0.0417267 | − | 0.276257i | ||||
\(277\) | −44.4671 | − | 77.0192i | −0.160531 | − | 0.278048i | 0.774528 | − | 0.632539i | \(-0.217987\pi\) |
−0.935059 | + | 0.354492i | \(0.884654\pi\) | |||||||
\(278\) | 325.095 | + | 377.886i | 1.16941 | + | 1.35930i | ||||
\(279\) | − | 234.434i | − | 0.840267i | ||||||
\(280\) | −252.356 | − | 151.178i | −0.901271 | − | 0.539921i | ||||
\(281\) | −195.954 | −0.697347 | −0.348673 | − | 0.937244i | \(-0.613368\pi\) | ||||
−0.348673 | + | 0.937244i | \(0.613368\pi\) | |||||||
\(282\) | −146.920 | + | 126.396i | −0.520994 | + | 0.448211i | ||||
\(283\) | −319.080 | + | 184.221i | −1.12749 | + | 0.650957i | −0.943303 | − | 0.331934i | \(-0.892299\pi\) |
−0.184189 | + | 0.982891i | \(0.558966\pi\) | |||||||
\(284\) | −356.363 | − | 53.8261i | −1.25480 | − | 0.189529i | ||||
\(285\) | 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 | ||||
\(290\) | −76.9160 | − | 406.857i | −0.265228 | − | 1.40295i | ||||
\(291\) | −554.983 | + | 320.419i | −1.90716 | + | 1.10110i | ||||
\(292\) | −154.898 | + | 60.7375i | −0.530473 | + | 0.208005i | ||||
\(293\) | −307.799 | −1.05051 | −0.525254 | − | 0.850946i | \(-0.676030\pi\) | ||||
−0.525254 | + | 0.850946i | \(0.676030\pi\) | |||||||
\(294\) | 445.534 | − | 36.0364i | 1.51542 | − | 0.122573i | ||||
\(295\) | 405.190i | 1.37353i | ||||||||
\(296\) | 205.786 | − | 7.60410i | 0.695225 | − | 0.0256895i | ||||
\(297\) | −14.1608 | − | 24.5273i | −0.0476796 | − | 0.0825835i | ||||
\(298\) | 65.0997 | + | 344.352i | 0.218455 | + | 1.15554i | ||||
\(299\) | 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 | ||||
\(304\) | −84.4488 | − | 91.1274i | −0.277792 | − | 0.299761i | ||||
\(305\) | 124.693 | + | 215.975i | 0.408831 | + | 0.708116i | ||||
\(306\) | −239.789 | + | 206.290i | −0.783624 | + | 0.674152i | ||||
\(307\) | 192.082i | 0.625675i | 0.949807 | + | 0.312838i | \(0.101280\pi\) | ||||
−0.949807 | + | 0.312838i | \(0.898720\pi\) | |||||||
\(308\) | −12.5005 | + | 60.7374i | −0.0405861 | + | 0.197199i | ||||
\(309\) | 441.761 | 1.42965 | ||||||||
\(310\) | −136.084 | − | 158.182i | −0.438981 | − | 0.510266i | ||||
\(311\) | 441.033 | − | 254.630i | 1.41811 | − | 0.818747i | 0.421978 | − | 0.906606i | \(-0.361336\pi\) |
0.996133 | + | 0.0878588i | \(0.0280024\pi\) | |||||||
\(312\) | 106.354 | + | 56.2732i | 0.340879 | + | 0.180363i | ||||
\(313\) | −160.504 | + | 278.002i | −0.512794 | + | 0.888185i | 0.487096 | + | 0.873348i | \(0.338056\pi\) |
−0.999890 | + | 0.0148364i | \(0.995277\pi\) | |||||||
\(314\) | 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 | −0.932768 | − | 0.360477i | \(-0.882614\pi\) |
0.778566 | + | 0.627563i | \(0.215947\pi\) | |||||||
\(318\) | −430.867 | + | 81.4552i | −1.35493 | + | 0.256148i | ||||
\(319\) | −75.5889 | + | 43.6413i | −0.236956 | + | 0.136807i | ||||
\(320\) | −189.129 | − | 277.957i | −0.591028 | − | 0.868614i | ||||
\(321\) | −11.9122 | −0.0371096 | ||||||||
\(322\) | 54.7329 | + | 22.4869i | 0.169978 | + | 0.0698350i | ||||
\(323\) | 104.043i | 0.322114i | ||||||||
\(324\) | 178.396 | − | 69.9514i | 0.550605 | − | 0.215899i | ||||
\(325\) | 4.27875 | + | 7.41101i | 0.0131654 | + | 0.0228031i | ||||
\(326\) | 165.103 | − | 31.2126i | 0.506450 | − | 0.0957441i | ||||
\(327\) | 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 | \(-0.485950\pi\) |
−0.843120 | + | 0.537726i | \(0.819284\pi\) | |||||||
\(332\) | −46.8153 | − | 7.07112i | −0.141010 | − | 0.0212986i | ||||
\(333\) | −151.920 | − | 263.132i | −0.456215 | − | 0.790187i | ||||
\(334\) | −7.93894 | − | 9.22811i | −0.0237693 | − | 0.0276291i | ||||
\(335\) | − | 274.304i | − | 0.818818i | ||||||
\(336\) | 479.366 | + | 176.553i | 1.42668 | + | 0.525454i | ||||
\(337\) | 385.052 | 1.14259 | 0.571293 | − | 0.820746i | \(-0.306442\pi\) | ||||
0.571293 | + | 0.820746i | \(0.306442\pi\) | |||||||
\(338\) | 239.742 | − | 206.250i | 0.709297 | − | 0.610208i | ||||
\(339\) | −136.472 | + | 78.7921i | −0.402572 | + | 0.232425i | ||||
\(340\) | −42.0481 | + | 278.385i | −0.123671 | + | 0.818779i | ||||
\(341\) | −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 | ||||
\(346\) | 51.8458 | + | 274.244i | 0.149843 | + | 0.792614i | ||||
\(347\) | 351.494 | − | 202.935i | 1.01295 | − | 0.584827i | 0.100897 | − | 0.994897i | \(-0.467829\pi\) |
0.912054 | + | 0.410070i | \(0.134496\pi\) | |||||||
\(348\) | 262.486 | + | 669.415i | 0.754271 | + | 1.92360i | ||||
\(349\) | 597.434 | 1.71185 | 0.855923 | − | 0.517103i | \(-0.172990\pi\) | ||||
0.855923 | + | 0.517103i | \(0.172990\pi\) | |||||||
\(350\) | 22.2000 | + | 28.7600i | 0.0634286 | + | 0.0821713i | ||||
\(351\) | − | 42.1700i | − | 0.120142i | ||||||
\(352\) | −42.1277 | + | 56.9885i | −0.119681 | + | 0.161899i | ||||
\(353\) | −254.527 | − | 440.853i | −0.721039 | − | 1.24888i | −0.960584 | − | 0.277991i | \(-0.910331\pi\) |
0.239544 | − | 0.970885i | \(-0.423002\pi\) | |||||||
\(354\) | −130.706 | − | 691.383i | −0.369225 | − | 1.95306i | ||||
\(355\) | 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 | \(-0.600351\pi\) |
−0.978376 | + | 0.206834i | \(0.933684\pi\) | |||||||
\(360\) | −231.993 | + | 438.459i | −0.644425 | + | 1.21794i | ||||
\(361\) | −150.352 | − | 260.417i | −0.416487 | − | 0.721377i | ||||
\(362\) | −147.258 | + | 126.686i | −0.406791 | + | 0.349963i | ||||
\(363\) | − | 529.524i | − | 1.45874i | ||||||
\(364\) | −61.3372 | + | 69.0134i | −0.168509 | + | 0.189597i | ||||
\(365\) | 218.503 | 0.598640 | ||||||||
\(366\) | −282.435 | − | 328.299i | −0.771681 | − | 0.896991i | ||||
\(367\) | 279.779 | − | 161.530i | 0.762341 | − | 0.440138i | −0.0677948 | − | 0.997699i | \(-0.521596\pi\) |
0.830136 | + | 0.557562i | \(0.188263\pi\) | |||||||
\(368\) | 45.9662 | + | 49.6014i | 0.124908 | + | 0.134786i | ||||
\(369\) | −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 | −0.871475 | − | 0.490440i | \(-0.836836\pi\) |
0.860471 | + | 0.509499i | \(0.170169\pi\) | |||||||
\(374\) | 58.3149 | − | 11.0244i | 0.155922 | − | 0.0294770i | ||||
\(375\) | 464.901 | − | 268.411i | 1.23974 | − | 0.715762i | ||||
\(376\) | −6.27618 | − | 169.849i | −0.0166920 | − | 0.451727i | ||||
\(377\) | −129.961 | −0.344724 | ||||||||
\(378\) | −23.8794 | − | 177.436i | −0.0631729 | − | 0.469408i | ||||
\(379\) | − | 51.9349i | − | 0.137031i | −0.997650 | − | 0.0685157i | \(-0.978174\pi\) | ||
0.997650 | − | 0.0685157i | \(-0.0218263\pi\) | |||||||
\(380\) | 59.5629 | + | 151.902i | 0.156744 | + | 0.399743i | ||||
\(381\) | 121.962 | + | 211.244i | 0.320109 | + | 0.554445i | ||||
\(382\) | −83.2186 | + | 15.7324i | −0.217850 | + | 0.0411844i | ||||
\(383\) | 94.1005 | + | 54.3289i | 0.245693 | + | 0.141851i | 0.617791 | − | 0.786343i | \(-0.288028\pi\) |
−0.372097 | + | 0.928194i | \(0.621361\pi\) | |||||||
\(384\) | 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 | ||||
\(388\) | 83.9345 | − | 555.699i | 0.216326 | − | 1.43221i | ||||
\(389\) | 51.3814 | + | 88.9951i | 0.132086 | + | 0.228779i | 0.924480 | − | 0.381230i | \(-0.124499\pi\) |
−0.792395 | + | 0.610009i | \(0.791166\pi\) | |||||||
\(390\) | −103.055 | − | 119.790i | −0.264244 | − | 0.307153i | ||||
\(391\) | − | 56.6315i | − | 0.144837i | ||||||
\(392\) | −219.005 | + | 325.117i | −0.558686 | + | 0.829379i | ||||
\(393\) | −590.929 | −1.50364 | ||||||||
\(394\) | −96.3350 | + | 82.8770i | −0.244505 | + | 0.210348i | ||||
\(395\) | −599.028 | + | 345.849i | −1.51653 | + | 0.875567i | ||||
\(396\) | 103.392 | + | 15.6167i | 0.261092 | + | 0.0394361i | ||||
\(397\) | 195.656 | − | 338.887i | 0.492837 | − | 0.853619i | −0.507129 | − | 0.861870i | \(-0.669293\pi\) |
0.999966 | + | 0.00825158i | \(0.00262659\pi\) | |||||||
\(398\) | 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 | −0.970072 | − | 0.242816i | \(-0.921929\pi\) |
0.695321 | + | 0.718699i | \(0.255262\pi\) | |||||||
\(402\) | 88.4846 | + | 468.050i | 0.220111 | + | 1.16430i | ||||
\(403\) | −56.7183 | + | 32.7463i | −0.140740 | + | 0.0812564i | ||||
\(404\) | 157.440 | − | 61.7341i | 0.389702 | − | 0.152807i | ||||
\(405\) | −251.650 | −0.621359 | ||||||||
\(406\) | −546.828 | + | 73.5921i | −1.34687 | + | 0.181261i | ||||
\(407\) | 57.0072i | 0.140067i | ||||||||
\(408\) | −18.0536 | − | 488.577i | −0.0442490 | − | 1.19749i | ||||
\(409\) | −267.662 | − | 463.605i | −0.654431 | − | 1.13351i | −0.982036 | − | 0.188694i | \(-0.939575\pi\) |
0.327605 | − | 0.944815i | \(-0.393759\pi\) | |||||||
\(410\) | 107.376 | + | 567.978i | 0.261893 | + | 1.38531i | ||||
\(411\) | −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 | ||||
\(416\) | −96.7499 | + | 42.1223i | −0.232572 | + | 0.101255i | ||||
\(417\) | 568.408 | + | 984.512i | 1.36309 | + | 2.36094i | ||||
\(418\) | 26.0731 | − | 22.4307i | 0.0623758 | − | 0.0536619i | ||||
\(419\) | 550.175i | 1.31307i | 0.754297 | + | 0.656534i | \(0.227978\pi\) | ||||
−0.754297 | + | 0.656534i | \(0.772022\pi\) | |||||||
\(420\) | −501.451 | − | 445.676i | −1.19393 | − | 1.06113i | ||||
\(421\) | −470.081 | −1.11658 | −0.558291 | − | 0.829645i | \(-0.688543\pi\) | ||||
−0.558291 | + | 0.829645i | \(0.688543\pi\) | |||||||
\(422\) | 312.240 | + | 362.943i | 0.739904 | + | 0.860054i | ||||
\(423\) | −217.181 | + | 125.389i | −0.513430 | + | 0.296429i | ||||
\(424\) | 179.848 | − | 339.907i | 0.424171 | − | 0.801667i | ||||
\(425\) | 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 | ||||
\(430\) | 807.953 | − | 152.743i | 1.87896 | − | 0.355217i | ||||
\(431\) | −534.589 | + | 308.645i | −1.24035 | + | 0.716114i | −0.969165 | − | 0.246415i | \(-0.920748\pi\) |
−0.271181 | + | 0.962528i | \(0.587414\pi\) | |||||||
\(432\) | 60.4318 | − | 195.485i | 0.139889 | − | 0.452511i | ||||
\(433\) | 189.923 | 0.438621 | 0.219310 | − | 0.975655i | \(-0.429619\pi\) | ||||
0.219310 | + | 0.975655i | \(0.429619\pi\) | |||||||
\(434\) | −220.107 | + | 169.902i | −0.507159 | + | 0.391480i | ||||
\(435\) | − | 944.295i | − | 2.17079i | ||||||
\(436\) | −28.8028 | + | 11.2940i | −0.0660615 | + | 0.0259036i | ||||
\(437\) | −16.4098 | − | 28.4227i | −0.0375511 | − | 0.0650404i | ||||
\(438\) | −372.836 | + | 70.4845i | −0.851224 | + | 0.160923i | ||||
\(439\) | −78.0565 | − | 45.0659i | −0.177805 | − | 0.102656i | 0.408456 | − | 0.912778i | \(-0.366067\pi\) |
−0.586261 | + | 0.810122i | \(0.699401\pi\) | |||||||
\(440\) | 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 | \(-0.249451\pi\) |
−0.257152 | + | 0.966371i | \(0.582784\pi\) | |||||||
\(444\) | 464.361 | + | 70.1385i | 1.04586 | + | 0.157970i | ||||
\(445\) | −81.7218 | − | 141.546i | −0.183645 | − | 0.318082i | ||||
\(446\) | 1.95383 | + | 2.27110i | 0.00438078 | + | 0.00509215i | ||||
\(447\) | 799.225i | 1.78798i | ||||||||
\(448\) | −383.236 | + | 232.021i | −0.855438 | + | 0.517905i | ||||
\(449\) | 176.049 | 0.392091 | 0.196045 | − | 0.980595i | \(-0.437190\pi\) | ||||
0.196045 | + | 0.980595i | \(0.437190\pi\) | |||||||
\(450\) | 46.4426 | − | 39.9545i | 0.103206 | − | 0.0887878i | ||||
\(451\) | 105.523 | − | 60.9240i | 0.233976 | − | 0.135086i | ||||
\(452\) | 20.6397 | − | 136.648i | 0.0456631 | − | 0.302319i | ||||
\(453\) | 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 | −0.840532 | − | 0.541762i | \(-0.817757\pi\) |
0.889445 | + | 0.457041i | \(0.151091\pi\) | |||||||
\(458\) | −99.7128 | − | 527.443i | −0.217714 | − | 1.15162i | ||||
\(459\) | −148.392 | + | 85.6742i | −0.323294 | + | 0.186654i | ||||
\(460\) | −32.4206 | − | 82.6817i | −0.0704795 | − | 0.179743i | ||||
\(461\) | 291.131 | 0.631520 | 0.315760 | − | 0.948839i | \(-0.397740\pi\) | ||||
0.315760 | + | 0.948839i | \(0.397740\pi\) | |||||||
\(462\) | −53.7424 | + | 130.809i | −0.116326 | + | 0.283136i | ||||
\(463\) | 235.766i | 0.509213i | 0.967045 | + | 0.254607i | \(0.0819460\pi\) | ||||
−0.967045 | + | 0.254607i | \(0.918054\pi\) | |||||||
\(464\) | −602.450 | − | 186.241i | −1.29838 | − | 0.401381i | ||||
\(465\) | −237.935 | − | 412.115i | −0.511688 | − | 0.886269i | ||||
\(466\) | −30.6831 | − | 162.302i | −0.0658436 | − | 0.348287i | ||||
\(467\) | 254.414 | + | 146.886i | 0.544784 | + | 0.314531i | 0.747015 | − | 0.664807i | \(-0.231486\pi\) |
−0.202232 | + | 0.979338i | \(0.564819\pi\) | |||||||
\(468\) | 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 | ||||
\(472\) | 545.425 | + | 288.590i | 1.15556 | + | 0.611420i | ||||
\(473\) | −86.6647 | − | 150.108i | −0.183224 | − | 0.317353i | ||||
\(474\) | 910.568 | − | 783.362i | 1.92103 | − | 1.65266i | ||||
\(475\) | − | 20.1511i | − | 0.0424234i | ||||||
\(476\) | 367.466 | + | 75.6291i | 0.771988 | + | 0.158885i | ||||
\(477\) | −567.398 | −1.18951 | ||||||||
\(478\) | 267.817 | + | 311.306i | 0.560286 | + | 0.651269i | ||||
\(479\) | −559.224 | + | 322.868i | −1.16748 | + | 0.674046i | −0.953086 | − | 0.302701i | \(-0.902112\pi\) |
−0.214396 | + | 0.976747i | \(0.568778\pi\) | |||||||
\(480\) | −306.060 | − | 702.984i | −0.637625 | − | 1.46455i | ||||
\(481\) | −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 | ||||
\(486\) | 655.578 | − | 123.937i | 1.34893 | − | 0.255014i | ||||
\(487\) | 149.221 | − | 86.1527i | 0.306408 | − | 0.176905i | −0.338910 | − | 0.940819i | \(-0.610058\pi\) |
0.645318 | + | 0.763914i | \(0.276725\pi\) | |||||||
\(488\) | 379.534 | − | 14.0243i | 0.777734 | − | 0.0287384i | ||||
\(489\) | 383.195 | 0.783631 | ||||||||
\(490\) | 423.630 | − | 292.507i | 0.864552 | − | 0.596954i | ||||
\(491\) | 432.143i | 0.880129i | 0.897966 | + | 0.440064i | \(0.145044\pi\) | ||||
−0.897966 | + | 0.440064i | \(0.854956\pi\) | |||||||
\(492\) | −366.435 | − | 934.514i | −0.744787 | − | 1.89942i | ||||
\(493\) | 264.033 | + | 457.319i | 0.535564 | + | 0.927625i | ||||
\(494\) | 50.3200 | − | 9.51298i | 0.101862 | − | 0.0192571i | ||||
\(495\) | −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 | \(-0.497588\pi\) |
−0.862213 | + | 0.506547i | \(0.830922\pi\) | |||||||
\(500\) | −70.3107 | + | 465.501i | −0.140621 | + | 0.931002i | ||||
\(501\) | −13.8807 | − | 24.0421i | −0.0277061 | − | 0.0479883i | ||||
\(502\) | −535.694 | − | 622.682i | −1.06712 | − | 1.24040i | ||||
\(503\) | − | 723.078i | − | 1.43753i | −0.695253 | − | 0.718766i | \(-0.744707\pi\) | ||
0.695253 | − | 0.718766i | \(-0.255293\pi\) | |||||||
\(504\) | 567.045 | + | 339.698i | 1.12509 | + | 0.674003i | ||||
\(505\) | −222.089 | −0.439779 | ||||||||
\(506\) | −14.1918 | + | 12.2092i | −0.0280470 | + | 0.0241289i | ||||
\(507\) | 624.605 | − | 360.616i | 1.23196 | − | 0.711274i | ||||
\(508\) | −211.516 | − | 31.9481i | −0.416371 | − | 0.0628899i | ||||
\(509\) | −232.354 | + | 402.449i | −0.456491 | + | 0.790666i | −0.998773 | − | 0.0495308i | \(-0.984227\pi\) |
0.542281 | + | 0.840197i | \(0.317561\pi\) | |||||||
\(510\) | −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 | ||||
\(514\) | 128.387 | + | 679.118i | 0.249780 | + | 1.32124i | ||||
\(515\) | 440.619 | − | 254.391i | 0.855570 | − | 0.493964i | ||||
\(516\) | −1329.35 | + | 521.257i | −2.57626 | + | 1.01019i | ||||
\(517\) | 47.0519 | 0.0910095 | ||||||||
\(518\) | −136.950 | + | 333.336i | −0.264383 | + | 0.643505i | ||||
\(519\) | 636.508i | 1.22641i | ||||||||
\(520\) | 138.485 | − | 5.11720i | 0.266317 | − | 0.00984077i | ||||
\(521\) | −19.9350 | − | 34.5283i | −0.0382629 | − | 0.0662732i | 0.846260 | − | 0.532770i | \(-0.178849\pi\) |
−0.884523 | + | 0.466497i | \(0.845516\pi\) | |||||||
\(522\) | 172.831 | + | 914.209i | 0.331094 | + | 1.75136i | ||||
\(523\) | −678.225 | − | 391.574i | −1.29680 | − | 0.748707i | −0.316948 | − | 0.948443i | \(-0.602658\pi\) |
−0.979850 | + | 0.199736i | \(0.935991\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | −118.545 | + | 109.857i | −0.224517 | + | 0.208062i | ||||
\(529\) | −255.568 | − | 442.657i | −0.483115 | − | 0.836780i | ||||
\(530\) | −382.846 | + | 329.363i | −0.722352 | + | 0.621439i | ||||
\(531\) | − | 910.465i | − | 1.71462i | ||||||
\(532\) | 206.342 | − | 68.5216i | 0.387861 | − | 0.128800i | ||||
\(533\) | 181.427 | 0.340389 | ||||||||
\(534\) | 185.103 | + | 215.161i | 0.346635 | + | 0.402924i | ||||
\(535\) | −11.8814 | + | 6.85972i | −0.0222082 | + | 0.0128219i | ||||
\(536\) | −369.240 | − | 195.369i | −0.688880 | − | 0.364494i | ||||
\(537\) | 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 | −0.965444 | − | 0.260610i | \(-0.916076\pi\) |
0.708417 | + | 0.705794i | \(0.249410\pi\) | |||||||
\(542\) | −938.047 | + | 177.337i | −1.73071 | + | 0.327191i | ||||
\(543\) | −383.655 | + | 221.503i | −0.706547 | + | 0.407925i | ||||
\(544\) | 344.785 | + | 254.876i | 0.633796 | + | 0.468522i | ||||
\(545\) | 40.6300 | 0.0745505 | ||||||||
\(546\) | −166.685 | + | 128.665i | −0.305283 | + | 0.235651i | ||||
\(547\) | 180.254i | 0.329532i | 0.986333 | + | 0.164766i | \(0.0526869\pi\) | ||||
−0.986333 | + | 0.164766i | \(0.947313\pi\) | |||||||
\(548\) | 606.744 | − | 237.912i | 1.10720 | − | 0.434146i | ||||
\(549\) | −280.187 | − | 485.298i | −0.510359 | − | 0.883967i | ||||
\(550\) | −11.2945 | + | 2.13522i | −0.0205354 | + | 0.00388221i | ||||
\(551\) | 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 | ||||
\(556\) | −985.783 | − | 148.896i | −1.77299 | − | 0.267798i | ||||
\(557\) | −214.374 | − | 371.307i | −0.384873 | − | 0.666619i | 0.606879 | − | 0.794794i | \(-0.292421\pi\) |
−0.991752 | + | 0.128175i | \(0.959088\pi\) | |||||||
\(558\) | 305.782 | + | 355.437i | 0.547997 | + | 0.636984i | ||||
\(559\) | − | 258.082i | − | 0.461685i | ||||||
\(560\) | 579.796 | − | 99.9502i | 1.03535 | − | 0.178482i | ||||
\(561\) | 135.346 | 0.241259 | ||||||||
\(562\) | 297.095 | − | 255.591i | 0.528640 | − | 0.454788i | ||||
\(563\) | 654.562 | − | 377.912i | 1.16263 | − | 0.671246i | 0.210699 | − | 0.977551i | \(-0.432426\pi\) |
0.951934 | + | 0.306305i | \(0.0990926\pi\) | |||||||
\(564\) | 57.8900 | − | 383.268i | 0.102642 | − | 0.679554i | ||||
\(565\) | −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 | −0.967568 | − | 0.252609i | \(-0.918711\pi\) |
0.702550 | + | 0.711634i | \(0.252045\pi\) | |||||||
\(570\) | 69.1213 | + | 365.625i | 0.121265 | + | 0.641448i | ||||
\(571\) | 144.347 | − | 83.3386i | 0.252796 | − | 0.145952i | −0.368248 | − | 0.929728i | \(-0.620042\pi\) |
0.621044 | + | 0.783776i | \(0.286709\pi\) | |||||||
\(572\) | −10.6638 | − | 27.1958i | −0.0186431 | − | 0.0475452i | ||||
\(573\) | −193.146 | −0.337079 | ||||||||
\(574\) | 763.381 | − | 102.736i | 1.32993 | − | 0.178982i | ||||
\(575\) | 10.9684i | 0.0190755i | ||||||||
\(576\) | 424.974 | + | 624.570i | 0.737802 | + | 1.08432i | ||||
\(577\) | 220.904 | + | 382.616i | 0.382849 | + | 0.663113i | 0.991468 | − | 0.130349i | \(-0.0416098\pi\) |
−0.608620 | + | 0.793462i | \(0.708276\pi\) | |||||||
\(578\) | 40.6703 | + | 215.130i | 0.0703638 | + | 0.372198i | ||||
\(579\) | 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 | ||||
\(584\) | 155.626 | − | 294.127i | 0.266482 | − | 0.503641i | ||||
\(585\) | −102.235 | − | 177.076i | −0.174760 | − | 0.302693i | ||||
\(586\) | 466.668 | − | 401.474i | 0.796362 | − | 0.685110i | ||||
\(587\) | − | 10.3386i | − | 0.0176127i | −0.999961 | − | 0.00880633i | \(-0.997197\pi\) | ||
0.999961 | − | 0.00880633i | \(-0.00280318\pi\) | |||||||
\(588\) | −628.491 | + | 635.764i | −1.06886 | + | 1.08123i | ||||
\(589\) | 154.222 | 0.261837 | ||||||||
\(590\) | −528.506 | − | 614.327i | −0.895772 | − | 1.04123i | ||||
\(591\) | −250.983 | + | 144.905i | −0.424676 | + | 0.245187i | ||||
\(592\) | −302.084 | + | 279.944i | −0.510277 | + | 0.472879i | ||||
\(593\) | 41.9808 | − | 72.7128i | 0.0707939 | − | 0.122619i | −0.828456 | − | 0.560055i | \(-0.810780\pi\) |
0.899249 | + | 0.437436i | \(0.144113\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | −27.3896 | + | 5.17800i | −0.0458020 | + | 0.00865886i | ||||
\(599\) | 20.8257 | − | 12.0237i | 0.0347674 | − | 0.0200730i | −0.482516 | − | 0.875887i | \(-0.660277\pi\) |
0.517283 | + | 0.855814i | \(0.326943\pi\) | |||||||
\(600\) | 3.49664 | + | 94.6280i | 0.00582773 | + | 0.157713i | ||||
\(601\) | −493.245 | −0.820708 | −0.410354 | − | 0.911926i | \(-0.634595\pi\) | ||||
−0.410354 | + | 0.911926i | \(0.634595\pi\) | |||||||
\(602\) | −146.142 | − | 1085.92i | −0.242761 | − | 1.80385i | ||||
\(603\) | 616.363i | 1.02216i | ||||||||
\(604\) | 116.356 | + | 296.740i | 0.192642 | + | 0.491292i | ||||
\(605\) | −304.930 | − | 528.155i | −0.504017 | − | 0.872983i | ||||
\(606\) | 378.953 | − | 71.6410i | 0.625336 | − | 0.118219i | ||||
\(607\) | −430.310 | − | 248.440i | −0.708913 | − | 0.409291i | 0.101745 | − | 0.994810i | \(-0.467557\pi\) |
−0.810658 | + | 0.585519i | \(0.800891\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 94.4824 | − | 625.533i | 0.154383 | − | 1.02211i | ||||
\(613\) | 505.351 | + | 875.294i | 0.824390 | + | 1.42789i | 0.902385 | + | 0.430932i | \(0.141815\pi\) |
−0.0779947 | + | 0.996954i | \(0.524852\pi\) | |||||||
\(614\) | −250.541 | − | 291.225i | −0.408046 | − | 0.474307i | ||||
\(615\) | 1318.25i | 2.14350i | ||||||||
\(616\) | −60.2696 | − | 108.392i | −0.0978403 | − | 0.175961i | ||||
\(617\) | −149.276 | −0.241938 | −0.120969 | − | 0.992656i | \(-0.538600\pi\) | ||||
−0.120969 | + | 0.992656i | \(0.538600\pi\) | |||||||
\(618\) | −669.774 | + | 576.206i | −1.08378 | + | 0.932372i | ||||
\(619\) | 147.508 | − | 85.1640i | 0.238301 | − | 0.137583i | −0.376094 | − | 0.926581i | \(-0.622733\pi\) |
0.614396 | + | 0.788998i | \(0.289400\pi\) | |||||||
\(620\) | 412.647 | + | 62.3274i | 0.665560 | + | 0.100528i | ||||
\(621\) | 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 | ||||
\(626\) | −119.261 | − | 630.844i | −0.190512 | − | 1.00774i | ||||
\(627\) | 67.9287 | − | 39.2186i | 0.108339 | − | 0.0625497i | ||||
\(628\) | −399.754 | + | 156.749i | −0.636551 | + | 0.249600i | ||||
\(629\) | 344.898 | 0.548328 | ||||||||
\(630\) | −530.438 | − | 687.179i | −0.841965 | − | 1.09076i | ||||
\(631\) | − | 853.611i | − | 1.35279i | −0.736538 | − | 0.676396i | \(-0.763541\pi\) | ||
0.736538 | − | 0.676396i | \(-0.236459\pi\) | |||||||
\(632\) | 38.8978 | + | 1052.68i | 0.0615472 | + | 1.66563i | ||||
\(633\) | 545.932 | + | 945.581i | 0.862451 | + | 1.49381i | ||||
\(634\) | −36.3212 | − | 192.125i | −0.0572889 | − | 0.303036i | ||||
\(635\) | 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 | ||||
\(640\) | 649.297 | + | 174.734i | 1.01453 | + | 0.273022i | ||||
\(641\) | 382.305 | + | 662.173i | 0.596420 | + | 1.03303i | 0.993345 | + | 0.115179i | \(0.0367442\pi\) |
−0.396924 | + | 0.917851i | \(0.629922\pi\) | |||||||
\(642\) | 18.0606 | − | 15.5375i | 0.0281318 | − | 0.0242018i | ||||
\(643\) | 585.159i | 0.910045i | 0.890480 | + | 0.455022i | \(0.150369\pi\) | ||||
−0.890480 | + | 0.455022i | \(0.849631\pi\) | |||||||
\(644\) | −112.314 | + | 37.2969i | −0.174400 | + | 0.0579145i | ||||
\(645\) | 1875.22 | 2.90732 | ||||||||
\(646\) | −135.707 | − | 157.744i | −0.210073 | − | 0.244186i | ||||
\(647\) | −318.173 | + | 183.697i | −0.491766 | + | 0.283921i | −0.725307 | − | 0.688426i | \(-0.758302\pi\) |
0.233541 | + | 0.972347i | \(0.424969\pi\) | |||||||
\(648\) | −179.234 | + | 338.746i | −0.276596 | + | 0.522755i | ||||
\(649\) | −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 | −0.230368 | − | 0.973104i | \(-0.573993\pi\) |
0.957917 | − | 0.287047i | \(-0.0926736\pi\) | |||||||
\(654\) | −69.3277 | + | 13.1064i | −0.106006 | + | 0.0200403i | ||||
\(655\) | −589.401 | + | 340.291i | −0.899849 | + | 0.519528i | ||||
\(656\) | 841.030 | + | 259.995i | 1.28206 | + | 0.396334i | ||||
\(657\) | −490.979 | −0.747304 | ||||||||
\(658\) | 275.124 | + | 113.034i | 0.418122 | + | 0.171784i | ||||
\(659\) | − | 351.380i | − | 0.533202i | −0.963807 | − | 0.266601i | \(-0.914099\pi\) | ||
0.963807 | − | 0.266601i | \(-0.0859006\pi\) | |||||||
\(660\) | 197.605 | − | 77.4834i | 0.299401 | − | 0.117399i | ||||
\(661\) | −130.956 | − | 226.822i | −0.198118 | − | 0.343150i | 0.749800 | − | 0.661664i | \(-0.230150\pi\) |
−0.947918 | + | 0.318514i | \(0.896816\pi\) | |||||||
\(662\) | 600.132 | − | 113.455i | 0.906543 | − | 0.171382i | ||||
\(663\) | 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 | ||||
\(668\) | 24.0732 | + | 3.63608i | 0.0360377 | + | 0.00544324i | ||||
\(669\) | 3.41615 | + | 5.91694i | 0.00510635 | + | 0.00884445i | ||||
\(670\) | 357.786 | + | 415.885i | 0.534009 | + | 0.620724i | ||||
\(671\) | 105.139i | 0.156690i | ||||||||
\(672\) | −957.073 | + | 357.576i | −1.42422 | + | 0.532107i | ||||
\(673\) | −420.840 | −0.625319 | −0.312660 | − | 0.949865i | \(-0.601220\pi\) | ||||
−0.312660 | + | 0.949865i | \(0.601220\pi\) | |||||||
\(674\) | −583.795 | + | 502.238i | −0.866164 | + | 0.745161i | ||||
\(675\) | 28.7407 | − | 16.5935i | 0.0425788 | − | 0.0245829i | ||||
\(676\) | −94.4639 | + | 625.411i | −0.139740 | + | 0.925164i | ||||
\(677\) | −447.752 | + | 775.529i | −0.661377 | + | 1.14554i | 0.318878 | + | 0.947796i | \(0.396694\pi\) |
−0.980254 | + | 0.197742i | \(0.936639\pi\) | |||||||
\(678\) | 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 | ||||
\(682\) | −16.3414 | − | 86.4396i | −0.0239609 | − | 0.126744i | ||||
\(683\) | −17.6165 | + | 10.1709i | −0.0257928 | + | 0.0148915i | −0.512841 | − | 0.858484i | \(-0.671407\pi\) |
0.487048 | + | 0.873375i | \(0.338074\pi\) | |||||||
\(684\) | −133.838 | − | 341.325i | −0.195670 | − | 0.499014i | ||||
\(685\) | −855.890 | −1.24947 | ||||||||
\(686\) | −359.287 | − | 584.387i | −0.523743 | − | 0.851877i | ||||
\(687\) | − | 1224.17i | − | 1.78191i | ||||||
\(688\) | 369.845 | − | 1196.37i | 0.537565 | − | 1.73891i | ||||
\(689\) | 79.2555 | + | 137.275i | 0.115030 | + | 0.199237i | ||||
\(690\) | −37.6233 | − | 199.013i | −0.0545265 | − | 0.288425i | ||||
\(691\) | −267.205 | − | 154.271i | −0.386694 | − | 0.223258i | 0.294033 | − | 0.955795i | \(-0.405002\pi\) |
−0.680727 | + | 0.732538i | \(0.738336\pi\) | |||||||
\(692\) | −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 | ||||
\(696\) | −1271.11 | − | 672.559i | −1.82631 | − | 0.966320i | ||||
\(697\) | −368.595 | − | 638.425i | −0.528830 | − | 0.915961i | ||||
\(698\) | −905.798 | + | 779.257i | −1.29770 | + | 1.11641i | ||||
\(699\) | − | 376.695i | − | 0.538905i | ||||||
\(700\) | −71.1712 | − | 14.6479i | −0.101673 | − | 0.0209256i | ||||
\(701\) | −1110.45 | −1.58410 | −0.792048 | − | 0.610458i | \(-0.790985\pi\) | ||||
−0.792048 | + | 0.610458i | \(0.790985\pi\) | |||||||
\(702\) | 55.0040 | + | 63.9359i | 0.0783533 | + | 0.0910767i | ||||
\(703\) | 173.101 | − | 99.9397i | 0.246231 | − | 0.142162i | ||||
\(704\) | −10.4606 | − | 141.352i | −0.0148588 | − | 0.200784i | ||||
\(705\) | −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 | −0.594663 | − | 0.803975i | \(-0.702714\pi\) |
0.993594 | + | 0.113006i | \(0.0360478\pi\) | |||||||
\(710\) | −930.146 | + | 175.844i | −1.31007 | + | 0.247667i | ||||
\(711\) | 1346.02 | − | 777.125i | 1.89314 | − | 1.09300i | ||||
\(712\) | −248.740 | + | 9.19130i | −0.349354 | + | 0.0129091i | ||||
\(713\) | −83.9442 | −0.117734 | ||||||||
\(714\) | 791.403 | + | 325.146i | 1.10841 | + | 0.455387i | ||||
\(715\) | 38.3632i | 0.0536548i | ||||||||
\(716\) | 227.353 | + | 579.816i | 0.317533 | + | 0.809799i | ||||
\(717\) | 468.261 | + | 811.052i | 0.653084 | + | 1.13117i | ||||
\(718\) | 1049.62 | − | 198.431i | 1.46187 | − | 0.276366i | ||||
\(719\) | −635.440 | − | 366.872i | −0.883784 | − | 0.510253i | −0.0118796 | − | 0.999929i | \(-0.503781\pi\) |
−0.871904 | + | 0.489677i | \(0.837115\pi\) | |||||||
\(720\) | −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 | ||||
\(724\) | 58.0232 | − | 384.150i | 0.0801425 | − | 0.530594i | ||||
\(725\) | −51.1382 | − | 88.5740i | −0.0705355 | − | 0.122171i | ||||
\(726\) | 690.679 | + | 802.835i | 0.951348 | + | 1.10583i | ||||
\(727\) | − | 482.678i | − | 0.663931i | −0.943292 | − | 0.331965i | \(-0.892288\pi\) | ||
0.943292 | − | 0.331965i | \(-0.107712\pi\) | |||||||
\(728\) | 2.97916 | − | 184.639i | 0.00409225 | − | 0.253625i | ||||
\(729\) | 1090.42 | 1.49577 | ||||||||
\(730\) | −331.283 | + | 285.003i | −0.453812 | + | 0.390415i | ||||
\(731\) | −908.164 | + | 524.329i | −1.24236 | + | 0.717276i | ||||
\(732\) | 856.426 | + | 129.357i | 1.16998 | + | 0.176718i | ||||
\(733\) | 539.259 | − | 934.023i | 0.735687 | − | 1.27425i | −0.218734 | − | 0.975785i | \(-0.570193\pi\) |
0.954421 | − | 0.298463i | \(-0.0964739\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | −241.275 | − | 1276.25i | −0.326931 | − | 1.72934i | ||||
\(739\) | −8.61538 | + | 4.97409i | −0.0116582 | + | 0.00673084i | −0.505818 | − | 0.862640i | \(-0.668809\pi\) |
0.494160 | + | 0.869371i | \(0.335476\pi\) | |||||||
\(740\) | 503.550 | − | 197.449i | 0.680473 | − | 0.266823i | ||||
\(741\) | 116.790 | 0.157612 | ||||||||
\(742\) | 411.212 | + | 532.722i | 0.554194 | + | 0.717955i | ||||
\(743\) | − | 1171.22i | − | 1.57634i | −0.615460 | − | 0.788168i | \(-0.711030\pi\) | ||
0.615460 | − | 0.788168i | \(-0.288970\pi\) | |||||||
\(744\) | −724.212 | + | 26.7607i | −0.973403 | + | 0.0359686i | ||||
\(745\) | 460.240 | + | 797.159i | 0.617772 | + | 1.07001i | ||||
\(746\) | −3.04963 | − | 16.1314i | −0.00408798 | − | 0.0216239i | ||||
\(747\) | −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 | \(-0.153216\pi\) |
0.0422454 | + | 0.999107i | \(0.486549\pi\) | |||||||
\(752\) | 231.057 | + | 249.330i | 0.307257 | + | 0.331556i | ||||
\(753\) | −936.627 | − | 1622.29i | −1.24386 | − | 2.15443i | ||||
\(754\) | 197.039 | − | 169.513i | 0.261326 | − | 0.224818i | ||||
\(755\) | − | 418.590i | − | 0.554424i | ||||||
\(756\) | 267.642 | + | 237.872i | 0.354023 | + | 0.314646i | ||||
\(757\) | 231.613 | 0.305962 | 0.152981 | − | 0.988229i | \(-0.451113\pi\) | ||||
0.152981 | + | 0.988229i | \(0.451113\pi\) | |||||||
\(758\) | 67.7407 | + | 78.7409i | 0.0893677 | + | 0.103880i | ||||
\(759\) | −36.9741 | + | 21.3470i | −0.0487143 | + | 0.0281252i | ||||
\(760\) | −288.438 | − | 152.616i | −0.379524 | − | 0.200810i | ||||
\(761\) | 627.730 | − | 1087.26i | 0.824875 | − | 1.42873i | −0.0771390 | − | 0.997020i | \(-0.524579\pi\) |
0.902014 | − | 0.431706i | \(-0.142088\pi\) | |||||||
\(762\) | −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 | ||||
\(766\) | −213.533 | + | 40.3684i | −0.278764 | + | 0.0527003i | ||||
\(767\) | −220.275 | + | 127.176i | −0.287190 | + | 0.165809i | ||||
\(768\) | −1164.27 | − | 88.7029i | −1.51598 | − | 0.115499i | ||||
\(769\) | 496.997 | 0.646291 | 0.323145 | − | 0.946349i | \(-0.395260\pi\) | ||||
0.323145 | + | 0.946349i | \(0.395260\pi\) | |||||||
\(770\) | 21.7237 | + | 161.418i | 0.0282126 | + | 0.209634i | ||||
\(771\) | 1576.20i | 2.04436i | ||||||||
\(772\) | −1038.25 | + | 407.110i | −1.34488 | + | 0.527345i | ||||
\(773\) | −156.922 | − | 271.796i | −0.203003 | − | 0.351612i | 0.746491 | − | 0.665395i | \(-0.231737\pi\) |
−0.949495 | + | 0.313783i | \(0.898404\pi\) | |||||||
\(774\) | −1815.48 | + | 343.215i | −2.34558 | + | 0.443430i | ||||
\(775\) | −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 | ||||
\(780\) | 312.493 | + | 47.1999i | 0.400632 | + | 0.0605127i | ||||
\(781\) | 99.7717 | + | 172.810i | 0.127749 | + | 0.221267i | ||||
\(782\) | 73.8667 | + | 85.8615i | 0.0944586 | + | 0.109797i | ||||
\(783\) | 504.002i | 0.643681i | ||||||||
\(784\) | −92.0192 | − | 778.581i | −0.117371 | − | 0.993088i | ||||
\(785\) | 563.904 | 0.718349 | ||||||||
\(786\) | 895.934 | − | 770.772i | 1.13987 | − | 0.980626i | ||||
\(787\) | 384.151 | − | 221.789i | 0.488120 | − | 0.281816i | −0.235674 | − | 0.971832i | \(-0.575730\pi\) |
0.723794 | + | 0.690016i | \(0.242396\pi\) | |||||||
\(788\) | 37.9582 | − | 251.307i | 0.0481703 | − | 0.318918i | ||||
\(789\) | −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 | ||||
\(794\) | 145.380 | + | 769.004i | 0.183098 | + | 0.968518i | ||||
\(795\) | −997.436 | + | 575.870i | −1.25464 | + | 0.724365i | ||||
\(796\) | 196.180 | + | 500.316i | 0.246458 | + | 0.628538i | ||||
\(797\) | 338.961 | 0.425296 | 0.212648 | − | 0.977129i | \(-0.431791\pi\) | ||||
0.212648 | + | 0.977129i | \(0.431791\pi\) | |||||||
\(798\) | 491.412 | − | 66.1342i | 0.615805 | − | 0.0828750i | ||||
\(799\) | − | 284.668i | − | 0.356280i | ||||||
\(800\) | −66.7782 | − | 49.3646i | −0.0834728 | − | 0.0617058i | ||||
\(801\) | 183.630 | + | 318.056i | 0.229250 | + | 0.397073i | ||||
\(802\) | −81.8642 | − | 433.030i | −0.102075 | − | 0.539938i | ||||
\(803\) | 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 | ||||
\(808\) | −158.179 | + | 298.953i | −0.195766 | + | 0.369991i | ||||
\(809\) | 468.506 | + | 811.477i | 0.579118 | + | 1.00306i | 0.995581 | + | 0.0939086i | \(0.0299362\pi\) |
−0.416463 | + | 0.909153i | \(0.636731\pi\) | |||||||
\(810\) | 381.539 | − | 328.238i | 0.471035 | − | 0.405232i | ||||
\(811\) | 435.479i | 0.536965i | 0.963285 | + | 0.268482i | \(0.0865221\pi\) | ||||
−0.963285 | + | 0.268482i | \(0.913478\pi\) | |||||||
\(812\) | 733.082 | − | 824.826i | 0.902810 | − | 1.01580i | ||||
\(813\) | −2177.16 | −2.67794 | ||||||||
\(814\) | −74.3568 | − | 86.4313i | −0.0913474 | − | 0.106181i | ||||
\(815\) | 382.205 | − | 220.666i | 0.468963 | − | 0.270756i | ||||
\(816\) | 664.642 | + | 717.205i | 0.814512 | + | 0.878928i | ||||
\(817\) | −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 | −0.812879 | − | 0.582433i | \(-0.802101\pi\) |
0.910841 | + | 0.412757i | \(0.135434\pi\) | |||||||
\(822\) | 1460.42 | − | 276.092i | 1.77667 | − | 0.335878i | ||||
\(823\) | −1336.09 | + | 771.393i | −1.62344 | + | 0.937294i | −0.637451 | + | 0.770491i | \(0.720011\pi\) |
−0.985990 | + | 0.166804i | \(0.946655\pi\) | |||||||
\(824\) | −28.6115 | − | 774.301i | −0.0347227 | − | 0.939686i | ||||
\(825\) | −26.2140 | −0.0317745 | ||||||||
\(826\) | −854.823 | + | 659.844i | −1.03489 | + | 0.798843i | ||||
\(827\) | 888.264i | 1.07408i | 0.843557 | + | 0.537040i | \(0.180458\pi\) | ||||
−0.843557 | + | 0.537040i | \(0.819542\pi\) | |||||||
\(828\) | 72.8493 | + | 185.786i | 0.0879822 | + | 0.224380i | ||||
\(829\) | −108.276 | − | 187.539i | −0.130610 | − | 0.226223i | 0.793302 | − | 0.608828i | \(-0.208360\pi\) |
−0.923912 | + | 0.382605i | \(0.875027\pi\) | |||||||
\(830\) | −122.193 | + | 23.1005i | −0.147221 | + | 0.0278320i | ||||
\(831\) | 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 | ||||
\(836\) | −10.2734 | + | 68.0163i | −0.0122887 | + | 0.0813593i | ||||
\(837\) | 126.994 | + | 219.960i | 0.151725 | + | 0.262796i | ||||
\(838\) | −717.615 | − | 834.146i | −0.856343 | − | 0.995401i | ||||
\(839\) | − | 370.077i | − | 0.441092i | −0.975377 | − | 0.220546i | \(-0.929216\pi\) | ||
0.975377 | − | 0.220546i | \(-0.0707840\pi\) | |||||||
\(840\) | 1341.59 | + | 21.6466i | 1.59713 | + | 0.0257697i | ||||
\(841\) | 712.249 | 0.846908 | ||||||||
\(842\) | 712.712 | − | 613.146i | 0.846451 | − | 0.728202i | ||||
\(843\) | 774.028 | − | 446.885i | 0.918182 | − | 0.530113i | ||||
\(844\) | −946.802 | − | 143.008i | −1.12180 | − | 0.169441i | ||||
\(845\) | 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 | ||||
\(850\) | 12.9182 | + | 68.3326i | 0.0151979 | + | 0.0803912i | ||||
\(851\) | −94.2201 | + | 54.3980i | −0.110717 | + | 0.0639224i | ||||
\(852\) | 1530.40 | − | 600.090i | 1.79624 | − | 0.704331i | ||||
\(853\) | −459.525 | −0.538716 | −0.269358 | − | 0.963040i | \(-0.586811\pi\) | ||||
−0.269358 | + | 0.963040i | \(0.586811\pi\) | |||||||
\(854\) | −252.579 | + | 614.775i | −0.295760 | + | 0.719877i | ||||
\(855\) | 481.483i | 0.563138i | ||||||||
\(856\) | 0.771516 | + | 20.8792i | 0.000901304 | + | 0.0243916i | ||||
\(857\) | 31.0889 | + | 53.8476i | 0.0362764 | + | 0.0628326i | 0.883594 | − | 0.468255i | \(-0.155117\pi\) |
−0.847317 | + | 0.531087i | \(0.821784\pi\) | |||||||
\(858\) | −12.3751 | − | 65.4597i | −0.0144232 | − | 0.0762934i | ||||
\(859\) | 1139.98 | + | 658.169i | 1.32710 | + | 0.766204i | 0.984851 | − | 0.173404i | \(-0.0554765\pi\) |
0.342254 | + | 0.939608i | \(0.388810\pi\) | |||||||
\(860\) | −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 | \(-0.233825\pi\) |
−0.209421 | + | 0.977826i | \(0.567158\pi\) | |||||||
\(864\) | 163.355 | + | 375.207i | 0.189068 | + | 0.434267i | ||||
\(865\) | 366.538 | + | 634.862i | 0.423743 | + | 0.733945i | ||||
\(866\) | −287.951 | + | 247.724i | −0.332507 | + | 0.286055i | ||||
\(867\) | 499.307i | 0.575902i | ||||||||
\(868\) | 112.104 | − | 544.691i | 0.129152 | − | 0.627525i | ||||
\(869\) | −291.613 | −0.335574 | ||||||||
\(870\) | 1231.68 | + | 1431.69i | 1.41573 | + | 1.64562i | ||||
\(871\) | 149.121 | − | 86.0950i | 0.171207 | − | 0.0988462i | ||||
\(872\) | 28.9381 | − | 54.6919i | 0.0331859 | − | 0.0627201i | ||||
\(873\) | 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 | 0.342784 | + | 0.939414i | \(0.388630\pi\) |
−0.984949 | + | 0.172847i | \(0.944703\pi\) | |||||||
\(878\) | 177.126 | − | 33.4856i | 0.201738 | − | 0.0381385i | ||||
\(879\) | 1215.82 | − | 701.953i | 1.38318 | − | 0.798581i | ||||
\(880\) | −54.9765 | + | 177.838i | −0.0624733 | + | 0.202088i | ||||
\(881\) | −294.364 | −0.334125 | −0.167062 | − | 0.985946i | \(-0.553428\pi\) | ||||
−0.167062 | + | 0.985946i | \(0.553428\pi\) | |||||||
\(882\) | −951.900 | + | 657.266i | −1.07925 | + | 0.745200i | ||||
\(883\) | 908.203i | 1.02854i | 0.857628 | + | 0.514271i | \(0.171938\pi\) | ||||
−0.857628 | + | 0.514271i | \(0.828062\pi\) | |||||||
\(884\) | −164.537 | + | 64.5171i | −0.186128 | + | 0.0729831i | ||||
\(885\) | −924.059 | − | 1600.52i | −1.04413 | − | 1.80849i | ||||
\(886\) | −453.547 | + | 85.7428i | −0.511904 | + | 0.0967752i | ||||
\(887\) | −737.152 | − | 425.595i | −0.831062 | − | 0.479814i | 0.0231543 | − | 0.999732i | \(-0.492629\pi\) |
−0.854216 | + | 0.519918i | \(0.825962\pi\) | |||||||
\(888\) | −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 | ||||
\(892\) | −5.92457 | − | 0.894865i | −0.00664190 | − | 0.00100321i | ||||
\(893\) | −82.4869 | − | 142.872i | −0.0923706 | − | 0.159991i | ||||
\(894\) | −1042.46 | − | 1211.74i | −1.16606 | − | 1.35542i | ||||
\(895\) | − | 817.905i | − | 0.913860i | ||||||
\(896\) | 278.408 | − | 851.649i | 0.310723 | − | 0.950501i | ||||
\(897\) | −63.5700 | −0.0708696 | ||||||||
\(898\) | −266.915 | + | 229.627i | −0.297233 | + | 0.255710i | ||||
\(899\) | 677.879 | − | 391.374i | 0.754037 | − | 0.435343i | ||||
\(900\) | −18.2994 | + | 121.154i | −0.0203327 | + | 0.134615i | ||||
\(901\) | 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 | ||||
\(906\) | 135.028 | + | 714.247i | 0.149038 | + | 0.788352i | ||||
\(907\) | 896.755 | − | 517.742i | 0.988704 | − | 0.570829i | 0.0838175 | − | 0.996481i | \(-0.473289\pi\) |
0.904887 | + | 0.425653i | \(0.139955\pi\) | |||||||
\(908\) | −21.6986 | − | 55.3377i | −0.0238972 | − | 0.0609446i | ||||
\(909\) | 499.034 | 0.548993 | ||||||||
\(910\) | −92.1610 | + | 224.319i | −0.101276 | + | 0.246505i | ||||
\(911\) | 1106.93i | 1.21507i | 0.794293 | + | 0.607535i | \(0.207842\pi\) | ||||
−0.794293 | + | 0.607535i | \(0.792158\pi\) | |||||||
\(912\) | 541.397 | + | 167.367i | 0.593637 | + | 0.183516i | ||||
\(913\) | 13.1070 | + | 22.7020i | 0.0143560 | + | 0.0248652i | ||||
\(914\) | 16.6094 | + | 87.8575i | 0.0181722 | + | 0.0961242i | ||||
\(915\) | −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 | \(-0.0335399\pi\) |
0.406144 | + | 0.913809i | \(0.366873\pi\) | |||||||
\(920\) | 156.999 | + | 83.0700i | 0.170651 | + | 0.0902935i | ||||
\(921\) | −438.055 | − | 758.733i | −0.475629 | − | 0.823814i | ||||
\(922\) | −441.397 | + | 379.734i | −0.478739 | + | 0.411859i | ||||
\(923\) | 297.113i | 0.321900i | ||||||||
\(924\) | −89.1376 | − | 268.423i | −0.0964693 | − | 0.290502i | ||||
\(925\) | −66.8002 | −0.0722165 | ||||||||
\(926\) | −307.519 | − | 357.455i | −0.332094 | − | 0.386021i | ||||
\(927\) | −990.073 | + | 571.619i | −1.06804 | + | 0.616633i | ||||
\(928\) | 1156.32 | − | 503.432i | 1.24604 | − | 0.542491i | ||||
\(929\) | −801.416 | + | 1388.09i | −0.862665 | + | 1.49418i | 0.00668122 | + | 0.999978i | \(0.497873\pi\) |
−0.869347 | + | 0.494203i | \(0.835460\pi\) | |||||||
\(930\) | 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 | ||||
\(934\) | −577.318 | + | 109.142i | −0.618113 | + | 0.116854i | ||||
\(935\) | 134.996 | − | 77.9401i | 0.144381 | − | 0.0833584i | ||||
\(936\) | −311.176 | + | 11.4984i | −0.332453 | + | 0.0122846i | ||||
\(937\) | −1446.12 | −1.54335 | −0.771675 | − | 0.636017i | \(-0.780581\pi\) | ||||
−0.771675 | + | 0.636017i | \(0.780581\pi\) | |||||||
\(938\) | 578.695 | − | 446.699i | 0.616946 | − | 0.476225i | ||||
\(939\) | − | 1464.16i | − | 1.55927i | ||||||
\(940\) | −162.968 | − | 415.614i | −0.173370 | − | 0.442142i | ||||
\(941\) | 152.094 | + | 263.435i | 0.161631 | + | 0.279952i | 0.935454 | − | 0.353449i | \(-0.114991\pi\) |
−0.773823 | + | 0.633402i | \(0.781658\pi\) | |||||||
\(942\) | −962.198 | + | 181.903i | −1.02144 | + | 0.193103i | ||||
\(943\) | 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 | \(-0.546838\pi\) |
−0.929975 | + | 0.367623i | \(0.880172\pi\) | |||||||
\(948\) | −358.785 | + | 2375.38i | −0.378465 | + | 2.50568i | ||||
\(949\) | 68.5810 | + | 118.786i | 0.0722666 | + | 0.125169i | ||||
\(950\) | 26.2839 | + | 30.5521i | 0.0276673 | + | 0.0321601i | ||||
\(951\) | − | 445.913i | − | 0.468889i | ||||||
\(952\) | −655.778 | + | 364.636i | −0.688843 | + | 0.383021i | ||||
\(953\) | −884.296 | −0.927908 | −0.463954 | − | 0.885859i | \(-0.653570\pi\) | ||||
−0.463954 | + | 0.885859i | \(0.653570\pi\) | |||||||
\(954\) | 860.259 | − | 740.080i | 0.901739 | − | 0.775765i | ||||
\(955\) | −192.647 | + | 111.225i | −0.201725 | + | 0.116466i | ||||
\(956\) | −812.098 | − | 122.662i | −0.849475 | − | 0.128307i | ||||
\(957\) | 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 | ||||
\(962\) | −31.5352 | − | 166.809i | −0.0327808 | − | 0.173398i | ||||
\(963\) | 26.6975 | − | 15.4138i | 0.0277233 | − | 0.0160061i | ||||
\(964\) | 57.5560 | − | 22.5685i | 0.0597054 | − | 0.0234113i | ||||
\(965\) | 1464.58 | 1.51770 | ||||||||
\(966\) | −267.480 | + | 35.9974i | −0.276894 | + | 0.0372644i | ||||
\(967\) | 293.782i | 0.303807i | 0.988395 | + | 0.151904i | \(0.0485404\pi\) | ||||
−0.988395 | + | 0.151904i | \(0.951460\pi\) | |||||||
\(968\) | −928.129 | + | 34.2957i | −0.958811 | + | 0.0354294i | ||||
\(969\) | −237.276 | − | 410.974i | −0.244867 | − | 0.424122i | ||||
\(970\) | −274.204 | − | 1450.44i | −0.282685 | − | 1.49530i | ||||
\(971\) | −456.358 | − | 263.478i | −0.469988 | − | 0.271347i | 0.246247 | − | 0.969207i | \(-0.420803\pi\) |
−0.716235 | + | 0.697860i | \(0.754136\pi\) | |||||||
\(972\) | −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 | ||||
\(976\) | −557.137 | + | 516.305i | −0.570837 | + | 0.529001i | ||||
\(977\) | −113.590 | − | 196.743i | −0.116264 | − | 0.201375i | 0.802020 | − | 0.597297i | \(-0.203758\pi\) |
−0.918284 | + | 0.395922i | \(0.870425\pi\) | |||||||
\(978\) | −580.980 | + | 499.817i | −0.594049 | + | 0.511060i | ||||
\(979\) | − | 68.9063i | − | 0.0703844i | ||||||
\(980\) | −260.756 | + | 996.042i | −0.266078 | + | 1.01637i | ||||
\(981\) | −91.2959 | −0.0930642 | ||||||||
\(982\) | −563.662 | − | 655.192i | −0.573994 | − | 0.667202i | ||||
\(983\) | 677.954 | − | 391.417i | 0.689678 | − | 0.398186i | −0.113813 | − | 0.993502i | \(-0.536307\pi\) |
0.803491 | + | 0.595316i | \(0.202973\pi\) | |||||||
\(984\) | 1774.49 | + | 938.903i | 1.80335 | + | 0.954170i | ||||
\(985\) | −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 | ||||
\(990\) | 269.866 | − | 51.0180i | 0.272592 | − | 0.0515334i | ||||
\(991\) | 1561.30 | − | 901.419i | 1.57548 | − | 0.909606i | 0.580005 | − | 0.814613i | \(-0.303050\pi\) |
0.995478 | − | 0.0949931i | \(-0.0302829\pi\) | |||||||
\(992\) | 377.800 | − | 511.071i | 0.380847 | − | 0.515192i | ||||
\(993\) | 1392.88 | 1.40270 | ||||||||
\(994\) | 168.245 | + | 1250.15i | 0.169260 | + | 1.25769i | ||||
\(995\) | − | 705.760i | − | 0.709306i | ||||||
\(996\) | 201.048 | − | 78.8337i | 0.201856 | − | 0.0791503i | ||||
\(997\) | −687.983 | − | 1191.62i | −0.690053 | − | 1.19521i | −0.971820 | − | 0.235724i | \(-0.924254\pi\) |
0.281767 | − | 0.959483i | \(-0.409079\pi\) | |||||||
\(998\) | 967.734 | − | 182.950i | 0.969673 | − | 0.183316i | ||||
\(999\) | 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.23.2 | yes | 12 | |
3.2 | odd | 2 | 252.3.y.c.163.5 | 12 | |||
4.3 | odd | 2 | inner | 28.3.g.a.23.3 | yes | 12 | |
7.2 | even | 3 | 196.3.c.i.99.6 | 6 | |||
7.3 | odd | 6 | 196.3.g.i.67.3 | 12 | |||
7.4 | even | 3 | inner | 28.3.g.a.11.3 | yes | 12 | |
7.5 | odd | 6 | 196.3.c.h.99.6 | 6 | |||
7.6 | odd | 2 | 196.3.g.i.79.2 | 12 | |||
8.3 | odd | 2 | 448.3.r.h.191.1 | 12 | |||
8.5 | even | 2 | 448.3.r.h.191.6 | 12 | |||
12.11 | even | 2 | 252.3.y.c.163.4 | 12 | |||
21.11 | odd | 6 | 252.3.y.c.235.4 | 12 | |||
28.3 | even | 6 | 196.3.g.i.67.2 | 12 | |||
28.11 | odd | 6 | inner | 28.3.g.a.11.2 | ✓ | 12 | |
28.19 | even | 6 | 196.3.c.h.99.5 | 6 | |||
28.23 | odd | 6 | 196.3.c.i.99.5 | 6 | |||
28.27 | even | 2 | 196.3.g.i.79.3 | 12 | |||
56.11 | odd | 6 | 448.3.r.h.319.6 | 12 | |||
56.53 | even | 6 | 448.3.r.h.319.1 | 12 | |||
84.11 | even | 6 | 252.3.y.c.235.5 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.g.a.11.2 | ✓ | 12 | 28.11 | odd | 6 | inner | |
28.3.g.a.11.3 | yes | 12 | 7.4 | even | 3 | inner | |
28.3.g.a.23.2 | yes | 12 | 1.1 | even | 1 | trivial | |
28.3.g.a.23.3 | yes | 12 | 4.3 | odd | 2 | inner | |
196.3.c.h.99.5 | 6 | 28.19 | even | 6 | |||
196.3.c.h.99.6 | 6 | 7.5 | odd | 6 | |||
196.3.c.i.99.5 | 6 | 28.23 | odd | 6 | |||
196.3.c.i.99.6 | 6 | 7.2 | even | 3 | |||
196.3.g.i.67.2 | 12 | 28.3 | even | 6 | |||
196.3.g.i.67.3 | 12 | 7.3 | odd | 6 | |||
196.3.g.i.79.2 | 12 | 7.6 | odd | 2 | |||
196.3.g.i.79.3 | 12 | 28.27 | even | 2 | |||
252.3.y.c.163.4 | 12 | 12.11 | even | 2 | |||
252.3.y.c.163.5 | 12 | 3.2 | odd | 2 | |||
252.3.y.c.235.4 | 12 | 21.11 | odd | 6 | |||
252.3.y.c.235.5 | 12 | 84.11 | even | 6 | |||
448.3.r.h.191.1 | 12 | 8.3 | odd | 2 | |||
448.3.r.h.191.6 | 12 | 8.5 | even | 2 | |||
448.3.r.h.319.1 | 12 | 56.53 | even | 6 | |||
448.3.r.h.319.6 | 12 | 56.11 | odd | 6 |