Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,3,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 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("72.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (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: | \(1.96185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.15 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.3.p.b.67.15 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35259 | + | 1.47326i | 0.676296 | + | 0.736630i | ||||
\(3\) | 2.76566 | − | 1.16239i | 0.921886 | − | 0.387462i | ||||
\(4\) | −0.340985 | + | 3.98544i | −0.0852462 | + | 0.996360i | ||||
\(5\) | 0.0166003 | − | 0.00958419i | 0.00332006 | − | 0.00191684i | −0.498339 | − | 0.866982i | \(-0.666057\pi\) |
0.501659 | + | 0.865065i | \(0.332723\pi\) | |||||||
\(6\) | 5.45330 | + | 2.50229i | 0.908884 | + | 0.417049i | ||||
\(7\) | −4.07208 | − | 2.35102i | −0.581726 | − | 0.335860i | 0.180093 | − | 0.983650i | \(-0.442360\pi\) |
−0.761819 | + | 0.647790i | \(0.775694\pi\) | |||||||
\(8\) | −6.33280 | + | 4.88832i | −0.791600 | + | 0.611040i | ||||
\(9\) | 6.29772 | − | 6.42952i | 0.699746 | − | 0.714391i | ||||
\(10\) | 0.0365734 | + | 0.0114930i | 0.00365734 | + | 0.00114930i | ||||
\(11\) | 2.84945 | − | 4.93540i | 0.259041 | − | 0.448673i | −0.706944 | − | 0.707269i | \(-0.749927\pi\) |
0.965985 | + | 0.258597i | \(0.0832601\pi\) | |||||||
\(12\) | 3.68957 | + | 11.4187i | 0.307464 | + | 0.951560i | ||||
\(13\) | −10.0617 | + | 5.80910i | −0.773974 | + | 0.446854i | −0.834290 | − | 0.551325i | \(-0.814122\pi\) |
0.0603167 | + | 0.998179i | \(0.480789\pi\) | |||||||
\(14\) | −2.04421 | − | 9.17921i | −0.146015 | − | 0.655658i | ||||
\(15\) | 0.0347702 | − | 0.0458025i | 0.00231801 | − | 0.00305350i | ||||
\(16\) | −15.7675 | − | 2.71795i | −0.985466 | − | 0.169872i | ||||
\(17\) | −0.376814 | −0.0221655 | −0.0110828 | − | 0.999939i | \(-0.503528\pi\) | ||||
−0.0110828 | + | 0.999939i | \(0.503528\pi\) | |||||||
\(18\) | 17.9906 | + | 0.581644i | 0.999478 | + | 0.0323136i | ||||
\(19\) | −15.0519 | −0.792207 | −0.396103 | − | 0.918206i | \(-0.629638\pi\) | ||||
−0.396103 | + | 0.918206i | \(0.629638\pi\) | |||||||
\(20\) | 0.0325368 | + | 0.0694276i | 0.00162684 | + | 0.00347138i | ||||
\(21\) | −13.9948 | − | 1.76878i | −0.666418 | − | 0.0842275i | ||||
\(22\) | 11.1253 | − | 2.47760i | 0.505694 | − | 0.112618i | ||||
\(23\) | 39.1821 | − | 22.6218i | 1.70357 | − | 0.983556i | 0.761484 | − | 0.648184i | \(-0.224471\pi\) |
0.942086 | − | 0.335372i | \(-0.108862\pi\) | |||||||
\(24\) | −11.8322 | + | 20.8806i | −0.493010 | + | 0.870024i | ||||
\(25\) | −12.4998 | + | 21.6503i | −0.499993 | + | 0.866013i | ||||
\(26\) | −22.1676 | − | 6.96608i | −0.852601 | − | 0.267926i | ||||
\(27\) | 9.94374 | − | 25.1022i | 0.368287 | − | 0.929712i | ||||
\(28\) | 10.7584 | − | 15.4274i | 0.384227 | − | 0.550978i | ||||
\(29\) | −32.0010 | − | 18.4758i | −1.10348 | − | 0.637096i | −0.166349 | − | 0.986067i | \(-0.553198\pi\) |
−0.937134 | + | 0.348971i | \(0.886531\pi\) | |||||||
\(30\) | 0.114509 | − | 0.0107266i | 0.00381696 | − | 0.000357555i | ||||
\(31\) | 26.3839 | − | 15.2328i | 0.851094 | − | 0.491379i | −0.00992571 | − | 0.999951i | \(-0.503160\pi\) |
0.861020 | + | 0.508571i | \(0.169826\pi\) | |||||||
\(32\) | −17.3227 | − | 26.9058i | −0.541335 | − | 0.840807i | ||||
\(33\) | 2.14377 | − | 16.9618i | 0.0649628 | − | 0.513994i | ||||
\(34\) | −0.509675 | − | 0.555144i | −0.0149905 | − | 0.0163278i | ||||
\(35\) | −0.0901304 | −0.00257515 | ||||||||
\(36\) | 23.4770 | + | 27.2915i | 0.652140 | + | 0.758098i | ||||
\(37\) | 53.4253i | 1.44393i | 0.691931 | + | 0.721964i | \(0.256760\pi\) | ||||
−0.691931 | + | 0.721964i | \(0.743240\pi\) | |||||||
\(38\) | −20.3591 | − | 22.1754i | −0.535767 | − | 0.583563i | ||||
\(39\) | −21.0747 | + | 27.7615i | −0.540376 | + | 0.711834i | ||||
\(40\) | −0.0582758 | + | 0.141842i | −0.00145689 | + | 0.00354606i | ||||
\(41\) | 29.0192 | + | 50.2628i | 0.707786 | + | 1.22592i | 0.965677 | + | 0.259747i | \(0.0836392\pi\) |
−0.257891 | + | 0.966174i | \(0.583027\pi\) | |||||||
\(42\) | −16.3234 | − | 23.0104i | −0.388652 | − | 0.547866i | ||||
\(43\) | −23.0516 | + | 39.9265i | −0.536083 | + | 0.928524i | 0.463027 | + | 0.886344i | \(0.346763\pi\) |
−0.999110 | + | 0.0421794i | \(0.986570\pi\) | |||||||
\(44\) | 18.6981 | + | 13.0392i | 0.424957 | + | 0.296346i | ||||
\(45\) | 0.0429223 | − | 0.167090i | 0.000953828 | − | 0.00371312i | ||||
\(46\) | 86.3252 | + | 27.1273i | 1.87663 | + | 0.589724i | ||||
\(47\) | 34.2487 | + | 19.7735i | 0.728695 | + | 0.420712i | 0.817944 | − | 0.575297i | \(-0.195114\pi\) |
−0.0892497 | + | 0.996009i | \(0.528447\pi\) | |||||||
\(48\) | −46.7667 | + | 10.8110i | −0.974306 | + | 0.225228i | ||||
\(49\) | −13.4454 | − | 23.2882i | −0.274396 | − | 0.475268i | ||||
\(50\) | −48.8037 | + | 10.8686i | −0.976074 | + | 0.217372i | ||||
\(51\) | −1.04214 | + | 0.438003i | −0.0204341 | + | 0.00858829i | ||||
\(52\) | −19.7209 | − | 42.0809i | −0.379249 | − | 0.809249i | ||||
\(53\) | 0.989874i | 0.0186769i | 0.999956 | + | 0.00933844i | \(0.00297256\pi\) | ||||
−0.999956 | + | 0.00933844i | \(0.997027\pi\) | |||||||
\(54\) | 50.4319 | − | 19.3034i | 0.933925 | − | 0.357470i | ||||
\(55\) | − | 0.109239i | − | 0.00198616i | ||||||
\(56\) | 37.2802 | − | 5.01711i | 0.665718 | − | 0.0895913i | ||||
\(57\) | −41.6285 | + | 17.4962i | −0.730324 | + | 0.306950i | ||||
\(58\) | −16.0647 | − | 72.1360i | −0.276978 | − | 1.24372i | ||||
\(59\) | 29.4331 | + | 50.9797i | 0.498866 | + | 0.864062i | 0.999999 | − | 0.00130851i | \(-0.000416510\pi\) |
−0.501133 | + | 0.865370i | \(0.667083\pi\) | |||||||
\(60\) | 0.170687 | + | 0.154193i | 0.00284479 | + | 0.00256988i | ||||
\(61\) | 75.1051 | + | 43.3619i | 1.23123 | + | 0.710851i | 0.967286 | − | 0.253687i | \(-0.0816432\pi\) |
0.263944 | + | 0.964538i | \(0.414977\pi\) | |||||||
\(62\) | 58.1285 | + | 18.2666i | 0.937557 | + | 0.294623i | ||||
\(63\) | −40.7608 | + | 11.3755i | −0.646996 | + | 0.180564i | ||||
\(64\) | 16.2087 | − | 61.9135i | 0.253261 | − | 0.967398i | ||||
\(65\) | −0.111351 | + | 0.192866i | −0.00171309 | + | 0.00296716i | ||||
\(66\) | 27.8888 | − | 19.7841i | 0.422557 | − | 0.299758i | ||||
\(67\) | −34.1445 | − | 59.1400i | −0.509620 | − | 0.882687i | −0.999938 | − | 0.0111436i | \(-0.996453\pi\) |
0.490318 | − | 0.871543i | \(-0.336881\pi\) | |||||||
\(68\) | 0.128488 | − | 1.50177i | 0.00188953 | − | 0.0220848i | ||||
\(69\) | 82.0690 | − | 108.109i | 1.18941 | − | 1.56679i | ||||
\(70\) | −0.121910 | − | 0.132785i | −0.00174157 | − | 0.00189694i | ||||
\(71\) | 42.3565i | 0.596571i | 0.954477 | + | 0.298285i | \(0.0964147\pi\) | ||||
−0.954477 | + | 0.298285i | \(0.903585\pi\) | |||||||
\(72\) | −8.45263 | + | 71.5021i | −0.117398 | + | 0.993085i | ||||
\(73\) | 26.6644 | 0.365266 | 0.182633 | − | 0.983181i | \(-0.441538\pi\) | ||||
0.182633 | + | 0.983181i | \(0.441538\pi\) | |||||||
\(74\) | −78.7093 | + | 72.2627i | −1.06364 | + | 0.976523i | ||||
\(75\) | −9.40418 | + | 74.4070i | −0.125389 | + | 0.992093i | ||||
\(76\) | 5.13248 | − | 59.9886i | 0.0675326 | − | 0.789323i | ||||
\(77\) | −23.2064 | + | 13.3982i | −0.301382 | + | 0.174003i | ||||
\(78\) | −69.4053 | + | 6.50156i | −0.889812 | + | 0.0833533i | ||||
\(79\) | −121.208 | − | 69.9797i | −1.53428 | − | 0.885819i | −0.999157 | − | 0.0410462i | \(-0.986931\pi\) |
−0.535126 | − | 0.844772i | \(-0.679736\pi\) | |||||||
\(80\) | −0.287794 | + | 0.106000i | −0.00359742 | + | 0.00132499i | ||||
\(81\) | −1.67750 | − | 80.9826i | −0.0207099 | − | 0.999786i | ||||
\(82\) | −34.7989 | + | 110.738i | −0.424377 | + | 1.35046i | ||||
\(83\) | 40.9931 | − | 71.0021i | 0.493892 | − | 0.855447i | −0.506083 | − | 0.862485i | \(-0.668907\pi\) |
0.999975 | + | 0.00703820i | \(0.00224035\pi\) | |||||||
\(84\) | 11.8214 | − | 55.1722i | 0.140731 | − | 0.656812i | ||||
\(85\) | −0.00625522 | + | 0.00361145i | −7.35908e−5 | + | 4.24877e-5i | ||||
\(86\) | −90.0015 | + | 20.0434i | −1.04653 | + | 0.233062i | ||||
\(87\) | −109.980 | − | 13.9002i | −1.26414 | − | 0.159772i | ||||
\(88\) | 6.08078 | + | 45.1839i | 0.0690998 | + | 0.513454i | ||||
\(89\) | −42.6370 | −0.479068 | −0.239534 | − | 0.970888i | \(-0.576995\pi\) | ||||
−0.239534 | + | 0.970888i | \(0.576995\pi\) | |||||||
\(90\) | 0.304224 | − | 0.162770i | 0.00338027 | − | 0.00180855i | ||||
\(91\) | 54.6292 | 0.600321 | ||||||||
\(92\) | 76.7973 | + | 163.872i | 0.834753 | + | 1.78121i | ||||
\(93\) | 55.2625 | − | 72.7969i | 0.594221 | − | 0.782762i | ||||
\(94\) | 17.1930 | + | 77.2026i | 0.182905 | + | 0.821304i | ||||
\(95\) | −0.249867 | + | 0.144261i | −0.00263017 | + | 0.00151853i | ||||
\(96\) | −79.1836 | − | 54.2766i | −0.824830 | − | 0.565381i | ||||
\(97\) | 55.9278 | − | 96.8698i | 0.576576 | − | 0.998658i | −0.419293 | − | 0.907851i | \(-0.637722\pi\) |
0.995868 | − | 0.0908072i | \(-0.0289447\pi\) | |||||||
\(98\) | 16.1233 | − | 51.3080i | 0.164523 | − | 0.523551i | ||||
\(99\) | −13.7872 | − | 49.4024i | −0.139265 | − | 0.499014i | ||||
\(100\) | −82.0238 | − | 57.1997i | −0.820238 | − | 0.571997i | ||||
\(101\) | −92.9636 | − | 53.6726i | −0.920432 | − | 0.531412i | −0.0366592 | − | 0.999328i | \(-0.511672\pi\) |
−0.883773 | + | 0.467916i | \(0.845005\pi\) | |||||||
\(102\) | −2.05488 | − | 0.942899i | −0.0201459 | − | 0.00924410i | ||||
\(103\) | 44.0704 | − | 25.4441i | 0.427868 | − | 0.247030i | −0.270570 | − | 0.962700i | \(-0.587212\pi\) |
0.698438 | + | 0.715671i | \(0.253879\pi\) | |||||||
\(104\) | 35.3217 | − | 85.9724i | 0.339632 | − | 0.826658i | ||||
\(105\) | −0.249270 | + | 0.104766i | −0.00237400 | + | 0.000997775i | ||||
\(106\) | −1.45834 | + | 1.33890i | −0.0137579 | + | 0.0126311i | ||||
\(107\) | −49.7181 | −0.464656 | −0.232328 | − | 0.972638i | \(-0.574634\pi\) | ||||
−0.232328 | + | 0.972638i | \(0.574634\pi\) | |||||||
\(108\) | 96.6528 | + | 48.1897i | 0.894933 | + | 0.446201i | ||||
\(109\) | − | 40.3370i | − | 0.370064i | −0.982732 | − | 0.185032i | \(-0.940761\pi\) | ||
0.982732 | − | 0.185032i | \(-0.0592389\pi\) | |||||||
\(110\) | 0.160937 | − | 0.147756i | 0.00146306 | − | 0.00134323i | ||||
\(111\) | 62.1008 | + | 147.756i | 0.559467 | + | 1.33114i | ||||
\(112\) | 57.8165 | + | 48.1373i | 0.516218 | + | 0.429797i | ||||
\(113\) | −12.9411 | − | 22.4146i | −0.114523 | − | 0.198360i | 0.803066 | − | 0.595890i | \(-0.203201\pi\) |
−0.917589 | + | 0.397530i | \(0.869867\pi\) | |||||||
\(114\) | −82.0828 | − | 37.6644i | −0.720024 | − | 0.330389i | ||||
\(115\) | 0.433623 | − | 0.751057i | 0.00377063 | − | 0.00653093i | ||||
\(116\) | 84.5460 | − | 121.238i | 0.728845 | − | 1.04516i | ||||
\(117\) | −26.0157 | + | 101.276i | −0.222357 | + | 0.865604i | ||||
\(118\) | −35.2952 | + | 112.317i | −0.299112 | + | 0.951842i | ||||
\(119\) | 1.53442 | + | 0.885896i | 0.0128943 | + | 0.00744450i | ||||
\(120\) | 0.00370461 | + | 0.460026i | 3.08717e−5 | + | 0.00383355i | ||||
\(121\) | 44.2612 | + | 76.6627i | 0.365795 | + | 0.633576i | ||||
\(122\) | 37.7032 | + | 169.300i | 0.309043 | + | 1.38771i | ||||
\(123\) | 138.682 | + | 105.278i | 1.12750 | + | 0.855919i | ||||
\(124\) | 51.7127 | + | 110.346i | 0.417038 | + | 0.889884i | ||||
\(125\) | 0.958412i | 0.00766729i | ||||||||
\(126\) | −71.8918 | − | 44.6647i | −0.570570 | − | 0.354482i | ||||
\(127\) | − | 38.2335i | − | 0.301051i | −0.988606 | − | 0.150526i | \(-0.951903\pi\) | ||
0.988606 | − | 0.150526i | \(-0.0480966\pi\) | |||||||
\(128\) | 113.138 | − | 59.8641i | 0.883893 | − | 0.467689i | ||||
\(129\) | −17.3428 | + | 137.218i | −0.134440 | + | 1.06370i | ||||
\(130\) | −0.434754 | + | 0.0968198i | −0.00334426 | + | 0.000744767i | ||||
\(131\) | −61.9020 | − | 107.217i | −0.472534 | − | 0.818453i | 0.526972 | − | 0.849883i | \(-0.323327\pi\) |
−0.999506 | + | 0.0314294i | \(0.989994\pi\) | |||||||
\(132\) | 66.8692 | + | 14.3276i | 0.506585 | + | 0.108542i | ||||
\(133\) | 61.2927 | + | 35.3874i | 0.460848 | + | 0.266070i | ||||
\(134\) | 40.9450 | − | 130.296i | 0.305559 | − | 0.972359i | ||||
\(135\) | −0.0755154 | − | 0.512007i | −0.000559373 | − | 0.00379265i | ||||
\(136\) | 2.38628 | − | 1.84198i | 0.0175462 | − | 0.0135440i | ||||
\(137\) | 56.1949 | − | 97.3324i | 0.410182 | − | 0.710456i | −0.584728 | − | 0.811230i | \(-0.698799\pi\) |
0.994909 | + | 0.100774i | \(0.0321319\pi\) | |||||||
\(138\) | 270.278 | − | 25.3184i | 1.95854 | − | 0.183466i | ||||
\(139\) | 56.1874 | + | 97.3194i | 0.404226 | + | 0.700140i | 0.994231 | − | 0.107260i | \(-0.0342077\pi\) |
−0.590005 | + | 0.807399i | \(0.700874\pi\) | |||||||
\(140\) | 0.0307331 | − | 0.359209i | 0.000219522 | − | 0.00256578i | ||||
\(141\) | 117.704 | + | 14.8765i | 0.834783 | + | 0.105507i | ||||
\(142\) | −62.4021 | + | 57.2911i | −0.439452 | + | 0.403459i | ||||
\(143\) | 66.2111i | 0.463014i | ||||||||
\(144\) | −116.774 | + | 84.2603i | −0.810931 | + | 0.585141i | ||||
\(145\) | −0.708302 | −0.00488484 | ||||||||
\(146\) | 36.0661 | + | 39.2836i | 0.247028 | + | 0.269066i | ||||
\(147\) | −64.2552 | − | 48.7783i | −0.437110 | − | 0.331825i | ||||
\(148\) | −212.923 | − | 18.2172i | −1.43867 | − | 0.123089i | ||||
\(149\) | 0.193825 | − | 0.111905i | 0.00130084 | − | 0.000751040i | −0.499349 | − | 0.866401i | \(-0.666428\pi\) |
0.500650 | + | 0.865650i | \(0.333094\pi\) | |||||||
\(150\) | −122.341 | + | 86.7875i | −0.815605 | + | 0.578584i | ||||
\(151\) | −106.870 | − | 61.7013i | −0.707747 | − | 0.408618i | 0.102479 | − | 0.994735i | \(-0.467323\pi\) |
−0.810226 | + | 0.586117i | \(0.800656\pi\) | |||||||
\(152\) | 95.3209 | − | 73.5786i | 0.627111 | − | 0.484070i | ||||
\(153\) | −2.37307 | + | 2.42273i | −0.0155102 | + | 0.0158348i | ||||
\(154\) | −51.1279 | − | 16.0667i | −0.332000 | − | 0.104329i | ||||
\(155\) | 0.291987 | − | 0.505737i | 0.00188379 | − | 0.00326282i | ||||
\(156\) | −103.456 | − | 93.4581i | −0.663177 | − | 0.599090i | ||||
\(157\) | −169.459 | + | 97.8372i | −1.07936 | + | 0.623167i | −0.930723 | − | 0.365726i | \(-0.880821\pi\) |
−0.148634 | + | 0.988892i | \(0.547488\pi\) | |||||||
\(158\) | −60.8474 | − | 273.225i | −0.385110 | − | 1.72927i | ||||
\(159\) | 1.15062 | + | 2.73765i | 0.00723658 | + | 0.0172179i | ||||
\(160\) | −0.545433 | − | 0.280621i | −0.00340895 | − | 0.00175388i | ||||
\(161\) | −212.737 | −1.32135 | ||||||||
\(162\) | 117.039 | − | 112.008i | 0.722466 | − | 0.691407i | ||||
\(163\) | 36.1007 | 0.221477 | 0.110738 | − | 0.993850i | \(-0.464678\pi\) | ||||
0.110738 | + | 0.993850i | \(0.464678\pi\) | |||||||
\(164\) | −210.214 | + | 98.5155i | −1.28179 | + | 0.600704i | ||||
\(165\) | −0.126978 | − | 0.302117i | −0.000769562 | − | 0.00183101i | ||||
\(166\) | 160.051 | − | 35.6435i | 0.964165 | − | 0.214720i | ||||
\(167\) | 89.8711 | − | 51.8871i | 0.538150 | − | 0.310701i | −0.206179 | − | 0.978514i | \(-0.566103\pi\) |
0.744329 | + | 0.667813i | \(0.232770\pi\) | |||||||
\(168\) | 97.2725 | − | 57.2096i | 0.579003 | − | 0.340533i | ||||
\(169\) | −17.0087 | + | 29.4600i | −0.100643 | + | 0.174319i | ||||
\(170\) | −0.0137814 | − | 0.00433073i | −8.10669e−5 | − | 2.54749e-5i | ||||
\(171\) | −94.7928 | + | 96.7767i | −0.554344 | + | 0.565946i | ||||
\(172\) | −151.265 | − | 105.485i | −0.879445 | − | 0.613285i | ||||
\(173\) | 53.5978 | + | 30.9447i | 0.309814 | + | 0.178871i | 0.646843 | − | 0.762623i | \(-0.276089\pi\) |
−0.337029 | + | 0.941494i | \(0.609422\pi\) | |||||||
\(174\) | −128.279 | − | 180.830i | −0.737238 | − | 1.03925i | ||||
\(175\) | 101.801 | − | 58.7746i | 0.581718 | − | 0.335855i | ||||
\(176\) | −58.3428 | + | 70.0740i | −0.331493 | + | 0.398148i | ||||
\(177\) | 140.660 | + | 106.780i | 0.794689 | + | 0.603275i | ||||
\(178\) | −57.6705 | − | 62.8154i | −0.323992 | − | 0.352895i | ||||
\(179\) | −235.967 | −1.31825 | −0.659125 | − | 0.752033i | \(-0.729073\pi\) | ||||
−0.659125 | + | 0.752033i | \(0.729073\pi\) | |||||||
\(180\) | 0.651293 | + | 0.228039i | 0.00361830 | + | 0.00126689i | ||||
\(181\) | − | 274.398i | − | 1.51601i | −0.652250 | − | 0.758004i | \(-0.726175\pi\) | ||
0.652250 | − | 0.758004i | \(-0.273825\pi\) | |||||||
\(182\) | 73.8911 | + | 80.4830i | 0.405995 | + | 0.442214i | ||||
\(183\) | 258.118 | + | 32.6232i | 1.41048 | + | 0.178269i | ||||
\(184\) | −137.550 | + | 334.794i | −0.747553 | + | 1.81953i | ||||
\(185\) | 0.512038 | + | 0.886876i | 0.00276777 | + | 0.00479392i | ||||
\(186\) | 181.996 | − | 17.0486i | 0.978475 | − | 0.0916589i | ||||
\(187\) | −1.07371 | + | 1.85973i | −0.00574178 | + | 0.00994506i | ||||
\(188\) | −90.4842 | + | 129.753i | −0.481299 | + | 0.690178i | ||||
\(189\) | −99.5076 | + | 78.8405i | −0.526495 | + | 0.417145i | ||||
\(190\) | −0.550501 | − | 0.172992i | −0.00289737 | − | 0.000910486i | ||||
\(191\) | −75.3616 | − | 43.5100i | −0.394563 | − | 0.227801i | 0.289572 | − | 0.957156i | \(-0.406487\pi\) |
−0.684135 | + | 0.729355i | \(0.739820\pi\) | |||||||
\(192\) | −27.1397 | − | 190.072i | −0.141353 | − | 0.989959i | ||||
\(193\) | 51.8130 | + | 89.7428i | 0.268461 | + | 0.464989i | 0.968465 | − | 0.249151i | \(-0.0801515\pi\) |
−0.700003 | + | 0.714140i | \(0.746818\pi\) | |||||||
\(194\) | 218.362 | − | 48.6293i | 1.12558 | − | 0.250666i | ||||
\(195\) | −0.0837744 | + | 0.662833i | −0.000429612 | + | 0.00339914i | ||||
\(196\) | 97.3982 | − | 45.6450i | 0.496930 | − | 0.232883i | ||||
\(197\) | 200.158i | 1.01603i | 0.861349 | + | 0.508014i | \(0.169620\pi\) | ||||
−0.861349 | + | 0.508014i | \(0.830380\pi\) | |||||||
\(198\) | 54.1340 | − | 87.1334i | 0.273404 | − | 0.440068i | ||||
\(199\) | 178.871i | 0.898847i | 0.893319 | + | 0.449424i | \(0.148371\pi\) | ||||
−0.893319 | + | 0.449424i | \(0.851629\pi\) | |||||||
\(200\) | −26.6748 | − | 198.210i | −0.133374 | − | 0.991051i | ||||
\(201\) | −163.176 | − | 123.872i | −0.811819 | − | 0.616278i | ||||
\(202\) | −46.6683 | − | 209.557i | −0.231031 | − | 1.03741i | ||||
\(203\) | 86.8738 | + | 150.470i | 0.427950 | + | 0.741231i | ||||
\(204\) | −1.39028 | − | 4.30273i | −0.00681510 | − | 0.0210918i | ||||
\(205\) | 0.963456 | + | 0.556251i | 0.00469978 | + | 0.00271342i | ||||
\(206\) | 97.0951 | + | 30.5117i | 0.471335 | + | 0.148115i | ||||
\(207\) | 101.310 | − | 394.388i | 0.489423 | − | 1.90526i | ||||
\(208\) | 174.436 | − | 64.2477i | 0.838633 | − | 0.308883i | ||||
\(209\) | −42.8898 | + | 74.2873i | −0.205214 | + | 0.355442i | ||||
\(210\) | −0.491509 | − | 0.225533i | −0.00234052 | − | 0.00107397i | ||||
\(211\) | −95.3087 | − | 165.079i | −0.451700 | − | 0.782367i | 0.546792 | − | 0.837269i | \(-0.315849\pi\) |
−0.998492 | + | 0.0549013i | \(0.982516\pi\) | |||||||
\(212\) | −3.94508 | − | 0.337532i | −0.0186089 | − | 0.00159213i | ||||
\(213\) | 49.2346 | + | 117.144i | 0.231148 | + | 0.549970i | ||||
\(214\) | −67.2484 | − | 73.2477i | −0.314245 | − | 0.342279i | ||||
\(215\) | 0.883723i | 0.00411034i | ||||||||
\(216\) | 59.7360 | + | 207.576i | 0.276555 | + | 0.960998i | ||||
\(217\) | −143.250 | −0.660139 | ||||||||
\(218\) | 59.4269 | − | 54.5596i | 0.272600 | − | 0.250273i | ||||
\(219\) | 73.7446 | − | 30.9943i | 0.336733 | − | 0.141527i | ||||
\(220\) | 0.435365 | + | 0.0372488i | 0.00197893 | + | 0.000169313i | ||||
\(221\) | 3.79137 | − | 2.18895i | 0.0171555 | − | 0.00990474i | ||||
\(222\) | −133.686 | + | 291.344i | −0.602188 | + | 1.31236i | ||||
\(223\) | 188.439 | + | 108.795i | 0.845018 | + | 0.487871i | 0.858967 | − | 0.512031i | \(-0.171107\pi\) |
−0.0139487 | + | 0.999903i | \(0.504440\pi\) | |||||||
\(224\) | 7.28342 | + | 150.289i | 0.0325153 | + | 0.670932i | ||||
\(225\) | 60.4809 | + | 216.715i | 0.268804 | + | 0.963180i | ||||
\(226\) | 15.5185 | − | 49.3835i | 0.0686661 | − | 0.218511i | ||||
\(227\) | 68.5871 | − | 118.796i | 0.302146 | − | 0.523332i | −0.674476 | − | 0.738297i | \(-0.735630\pi\) |
0.976622 | + | 0.214965i | \(0.0689637\pi\) | |||||||
\(228\) | −55.5352 | − | 171.874i | −0.243575 | − | 0.753832i | ||||
\(229\) | −222.151 | + | 128.259i | −0.970090 | + | 0.560082i | −0.899264 | − | 0.437407i | \(-0.855897\pi\) |
−0.0708262 | + | 0.997489i | \(0.522564\pi\) | |||||||
\(230\) | 1.69302 | − | 0.377035i | 0.00736094 | − | 0.00163928i | ||||
\(231\) | −48.6071 | + | 64.0298i | −0.210420 | + | 0.277185i | ||||
\(232\) | 292.971 | − | 39.4276i | 1.26281 | − | 0.169947i | ||||
\(233\) | 305.481 | 1.31108 | 0.655538 | − | 0.755162i | \(-0.272442\pi\) | ||||
0.655538 | + | 0.755162i | \(0.272442\pi\) | |||||||
\(234\) | −184.394 | + | 98.6569i | −0.788009 | + | 0.421611i | ||||
\(235\) | 0.758051 | 0.00322575 | ||||||||
\(236\) | −213.213 | + | 99.9206i | −0.903443 | + | 0.423392i | ||||
\(237\) | −416.564 | − | 52.6489i | −1.75765 | − | 0.222147i | ||||
\(238\) | 0.770287 | + | 3.45885i | 0.00323650 | + | 0.0145330i | ||||
\(239\) | −68.4669 | + | 39.5294i | −0.286472 | + | 0.165395i | −0.636350 | − | 0.771401i | \(-0.719557\pi\) |
0.349878 | + | 0.936795i | \(0.386223\pi\) | |||||||
\(240\) | −0.672727 | + | 0.627686i | −0.00280303 | + | 0.00261536i | ||||
\(241\) | 111.403 | − | 192.956i | 0.462254 | − | 0.800647i | −0.536819 | − | 0.843697i | \(-0.680374\pi\) |
0.999073 | + | 0.0430503i | \(0.0137076\pi\) | |||||||
\(242\) | −53.0766 | + | 168.902i | −0.219325 | + | 0.697941i | ||||
\(243\) | −98.7725 | − | 222.020i | −0.406471 | − | 0.913664i | ||||
\(244\) | −198.426 | + | 284.541i | −0.813221 | + | 1.16615i | ||||
\(245\) | −0.446396 | − | 0.257727i | −0.00182202 | − | 0.00105195i | ||||
\(246\) | 32.4784 | + | 346.713i | 0.132026 | + | 1.40940i | ||||
\(247\) | 151.447 | − | 87.4382i | 0.613147 | − | 0.354001i | ||||
\(248\) | −92.6215 | + | 225.439i | −0.373474 | + | 0.909028i | ||||
\(249\) | 30.8409 | − | 244.017i | 0.123859 | − | 0.979989i | ||||
\(250\) | −1.41199 | + | 1.29634i | −0.00564795 | + | 0.00518536i | ||||
\(251\) | 393.373 | 1.56722 | 0.783611 | − | 0.621252i | \(-0.213376\pi\) | ||||
0.783611 | + | 0.621252i | \(0.213376\pi\) | |||||||
\(252\) | −31.4376 | − | 166.328i | −0.124752 | − | 0.660034i | ||||
\(253\) | − | 257.839i | − | 1.01913i | ||||||
\(254\) | 56.3279 | − | 51.7144i | 0.221763 | − | 0.203600i | ||||
\(255\) | −0.0131019 | + | 0.0172590i | −5.13800e−5 | + | 6.76824e-5i | ||||
\(256\) | 241.226 | + | 85.7103i | 0.942287 | + | 0.334806i | ||||
\(257\) | 89.6613 | + | 155.298i | 0.348877 | + | 0.604272i | 0.986050 | − | 0.166448i | \(-0.0532299\pi\) |
−0.637173 | + | 0.770720i | \(0.719897\pi\) | |||||||
\(258\) | −225.615 | + | 160.050i | −0.874478 | + | 0.620347i | ||||
\(259\) | 125.604 | − | 217.552i | 0.484957 | − | 0.839970i | ||||
\(260\) | −0.730685 | − | 0.509547i | −0.00281033 | − | 0.00195980i | ||||
\(261\) | −320.324 | + | 89.3958i | −1.22729 | + | 0.342513i | ||||
\(262\) | 74.2308 | − | 236.219i | 0.283324 | − | 0.901600i | ||||
\(263\) | −241.721 | − | 139.558i | −0.919092 | − | 0.530638i | −0.0357465 | − | 0.999361i | \(-0.511381\pi\) |
−0.883345 | + | 0.468723i | \(0.844714\pi\) | |||||||
\(264\) | 69.3385 | + | 117.895i | 0.262646 | + | 0.446572i | ||||
\(265\) | 0.00948714 | + | 0.0164322i | 3.58005e−5 | + | 6.20083e-5i | ||||
\(266\) | 30.7693 | + | 138.165i | 0.115674 | + | 0.519416i | ||||
\(267\) | −117.919 | + | 49.5607i | −0.441646 | + | 0.185621i | ||||
\(268\) | 247.342 | − | 115.915i | 0.922917 | − | 0.432519i | ||||
\(269\) | − | 112.462i | − | 0.418076i | −0.977908 | − | 0.209038i | \(-0.932967\pi\) | ||
0.977908 | − | 0.209038i | \(-0.0670332\pi\) | |||||||
\(270\) | 0.652178 | − | 0.803791i | 0.00241547 | − | 0.00297700i | ||||
\(271\) | 500.279i | 1.84605i | 0.384740 | + | 0.923025i | \(0.374291\pi\) | ||||
−0.384740 | + | 0.923025i | \(0.625709\pi\) | |||||||
\(272\) | 5.94139 | + | 1.02416i | 0.0218434 | + | 0.00376529i | ||||
\(273\) | 151.086 | − | 63.5002i | 0.553427 | − | 0.232602i | ||||
\(274\) | 219.405 | − | 48.8615i | 0.800747 | − | 0.178327i | ||||
\(275\) | 71.2353 | + | 123.383i | 0.259037 | + | 0.448666i | ||||
\(276\) | 402.877 | + | 363.944i | 1.45970 | + | 1.31864i | ||||
\(277\) | 222.630 | + | 128.535i | 0.803718 | + | 0.464027i | 0.844770 | − | 0.535130i | \(-0.179737\pi\) |
−0.0410514 | + | 0.999157i | \(0.513071\pi\) | |||||||
\(278\) | −67.3780 | + | 214.412i | −0.242367 | + | 0.771267i | ||||
\(279\) | 68.2191 | − | 265.568i | 0.244513 | − | 0.951855i | ||||
\(280\) | 0.570778 | − | 0.440586i | 0.00203849 | − | 0.00157352i | ||||
\(281\) | 139.228 | − | 241.150i | 0.495474 | − | 0.858187i | −0.504512 | − | 0.863405i | \(-0.668328\pi\) |
0.999986 | + | 0.00521797i | \(0.00166094\pi\) | |||||||
\(282\) | 137.289 | + | 193.531i | 0.486841 | + | 0.686280i | ||||
\(283\) | 93.9509 | + | 162.728i | 0.331982 | + | 0.575009i | 0.982900 | − | 0.184138i | \(-0.0589494\pi\) |
−0.650919 | + | 0.759148i | \(0.725616\pi\) | |||||||
\(284\) | −168.809 | − | 14.4429i | −0.594399 | − | 0.0508554i | ||||
\(285\) | −0.523359 | + | 0.689417i | −0.00183635 | + | 0.00241901i | ||||
\(286\) | −97.5460 | + | 89.5566i | −0.341070 | + | 0.313135i | ||||
\(287\) | − | 272.899i | − | 0.950868i | ||||||
\(288\) | −282.085 | − | 58.0686i | −0.979462 | − | 0.201627i | ||||
\(289\) | −288.858 | −0.999509 | ||||||||
\(290\) | −0.958044 | − | 1.04351i | −0.00330360 | − | 0.00359832i | ||||
\(291\) | 42.0771 | − | 332.918i | 0.144595 | − | 1.14405i | ||||
\(292\) | −9.09216 | + | 106.269i | −0.0311375 | + | 0.363936i | ||||
\(293\) | 442.987 | − | 255.759i | 1.51190 | − | 0.872897i | 0.511999 | − | 0.858986i | \(-0.328905\pi\) |
0.999903 | − | 0.0139109i | \(-0.00442813\pi\) | |||||||
\(294\) | −15.0482 | − | 160.642i | −0.0511842 | − | 0.546401i | ||||
\(295\) | 0.977197 | + | 0.564185i | 0.00331253 | + | 0.00191249i | ||||
\(296\) | −261.160 | − | 338.332i | −0.882297 | − | 1.14301i | ||||
\(297\) | −95.5553 | − | 120.604i | −0.321735 | − | 0.406074i | ||||
\(298\) | 0.427031 | + | 0.134193i | 0.00143299 | + | 0.000450311i | ||||
\(299\) | −262.825 | + | 455.225i | −0.879012 | + | 1.52249i | ||||
\(300\) | −293.338 | − | 62.8514i | −0.977793 | − | 0.209505i | ||||
\(301\) | 187.736 | − | 108.389i | 0.623708 | − | 0.360098i | ||||
\(302\) | −53.6494 | − | 240.904i | −0.177647 | − | 0.797695i | ||||
\(303\) | −319.494 | − | 40.3803i | −1.05444 | − | 0.133268i | ||||
\(304\) | 237.331 | + | 40.9104i | 0.780693 | + | 0.134574i | ||||
\(305\) | 1.66236 | 0.00545035 | ||||||||
\(306\) | −6.77910 | − | 0.219171i | −0.0221539 | − | 0.000716247i | ||||
\(307\) | −195.885 | −0.638061 | −0.319031 | − | 0.947744i | \(-0.603357\pi\) | ||||
−0.319031 | + | 0.947744i | \(0.603357\pi\) | |||||||
\(308\) | −45.4848 | − | 97.0564i | −0.147678 | − | 0.315118i | ||||
\(309\) | 92.3079 | − | 121.596i | 0.298731 | − | 0.393516i | ||||
\(310\) | 1.14002 | − | 0.253883i | 0.00367749 | − | 0.000818978i | ||||
\(311\) | −395.492 | + | 228.338i | −1.27168 | + | 0.734205i | −0.975304 | − | 0.220867i | \(-0.929111\pi\) |
−0.296376 | + | 0.955071i | \(0.595778\pi\) | |||||||
\(312\) | −2.24541 | − | 278.828i | −0.00719683 | − | 0.893679i | ||||
\(313\) | −185.314 | + | 320.973i | −0.592058 | + | 1.02547i | 0.401897 | + | 0.915685i | \(0.368351\pi\) |
−0.993955 | + | 0.109789i | \(0.964982\pi\) | |||||||
\(314\) | −373.348 | − | 117.323i | −1.18901 | − | 0.373640i | ||||
\(315\) | −0.567616 | + | 0.579496i | −0.00180196 | + | 0.00183967i | ||||
\(316\) | 320.230 | − | 459.207i | 1.01339 | − | 1.45319i | ||||
\(317\) | 435.393 | + | 251.374i | 1.37348 | + | 0.792979i | 0.991364 | − | 0.131136i | \(-0.0418624\pi\) |
0.382115 | + | 0.924115i | \(0.375196\pi\) | |||||||
\(318\) | −2.47696 | + | 5.39809i | −0.00778917 | + | 0.0169751i | ||||
\(319\) | −182.371 | + | 105.292i | −0.571695 | + | 0.330068i | ||||
\(320\) | −0.324321 | − | 1.18313i | −0.00101350 | − | 0.00369728i | ||||
\(321\) | −137.503 | + | 57.7917i | −0.428359 | + | 0.180036i | ||||
\(322\) | −287.747 | − | 313.417i | −0.893623 | − | 0.973344i | ||||
\(323\) | 5.67177 | 0.0175597 | ||||||||
\(324\) | 323.323 | + | 20.9283i | 0.997912 | + | 0.0645934i | ||||
\(325\) | − | 290.451i | − | 0.893695i | ||||||
\(326\) | 48.8296 | + | 53.1858i | 0.149784 | + | 0.163146i | ||||
\(327\) | −46.8872 | − | 111.558i | −0.143386 | − | 0.341157i | ||||
\(328\) | −429.473 | − | 176.449i | −1.30937 | − | 0.537954i | ||||
\(329\) | −92.9756 | − | 161.038i | −0.282601 | − | 0.489479i | ||||
\(330\) | 0.273348 | − | 0.595712i | 0.000828326 | − | 0.00180519i | ||||
\(331\) | −187.810 | + | 325.297i | −0.567402 | + | 0.982769i | 0.429420 | + | 0.903105i | \(0.358718\pi\) |
−0.996822 | + | 0.0796642i | \(0.974615\pi\) | |||||||
\(332\) | 268.996 | + | 187.586i | 0.810230 | + | 0.565018i | ||||
\(333\) | 343.499 | + | 336.457i | 1.03153 | + | 1.01038i | ||||
\(334\) | 198.002 | + | 62.2213i | 0.592821 | + | 0.186291i | ||||
\(335\) | −1.13362 | − | 0.654495i | −0.00338394 | − | 0.00195372i | ||||
\(336\) | 215.855 | + | 65.9262i | 0.642425 | + | 0.196209i | ||||
\(337\) | −161.252 | − | 279.296i | −0.478492 | − | 0.828772i | 0.521204 | − | 0.853432i | \(-0.325483\pi\) |
−0.999696 | + | 0.0246599i | \(0.992150\pi\) | |||||||
\(338\) | −66.4080 | + | 14.7891i | −0.196473 | + | 0.0437547i | ||||
\(339\) | −61.8451 | − | 46.9487i | −0.182434 | − | 0.138492i | ||||
\(340\) | −0.0122603 | − | 0.0261612i | −3.60597e−5 | − | 7.69448e-5i | ||||
\(341\) | − | 173.620i | − | 0.509150i | ||||||
\(342\) | −270.793 | − | 8.75487i | −0.791793 | − | 0.0255990i | ||||
\(343\) | 356.842i | 1.04035i | ||||||||
\(344\) | −49.1925 | − | 365.530i | −0.143001 | − | 1.06259i | ||||
\(345\) | 0.326234 | − | 2.58120i | 0.000945607 | − | 0.00748175i | ||||
\(346\) | 26.9064 | + | 120.819i | 0.0777642 | + | 0.349188i | ||||
\(347\) | −42.4458 | − | 73.5183i | −0.122322 | − | 0.211868i | 0.798361 | − | 0.602179i | \(-0.205701\pi\) |
−0.920683 | + | 0.390311i | \(0.872367\pi\) | |||||||
\(348\) | 92.8997 | − | 433.578i | 0.266953 | − | 1.24591i | ||||
\(349\) | −35.4597 | − | 20.4727i | −0.101604 | − | 0.0586610i | 0.448337 | − | 0.893865i | \(-0.352016\pi\) |
−0.549941 | + | 0.835204i | \(0.685350\pi\) | |||||||
\(350\) | 224.285 | + | 70.4806i | 0.640814 | + | 0.201373i | ||||
\(351\) | 45.7709 | + | 310.334i | 0.130401 | + | 0.884143i | ||||
\(352\) | −182.151 | + | 8.82757i | −0.517475 | + | 0.0250783i | ||||
\(353\) | −272.714 | + | 472.355i | −0.772561 | + | 1.33812i | 0.163593 | + | 0.986528i | \(0.447691\pi\) |
−0.936155 | + | 0.351588i | \(0.885642\pi\) | |||||||
\(354\) | 32.9416 | + | 351.658i | 0.0930554 | + | 0.993384i | ||||
\(355\) | 0.405953 | + | 0.703131i | 0.00114353 | + | 0.00198065i | ||||
\(356\) | 14.5386 | − | 169.927i | 0.0408387 | − | 0.477324i | ||||
\(357\) | 5.27342 | + | 0.666500i | 0.0147715 | + | 0.00186695i | ||||
\(358\) | −319.167 | − | 347.640i | −0.891528 | − | 0.971062i | ||||
\(359\) | 24.1503i | 0.0672710i | 0.999434 | + | 0.0336355i | \(0.0107085\pi\) | ||||
−0.999434 | + | 0.0336355i | \(0.989291\pi\) | |||||||
\(360\) | 0.544974 | + | 1.26797i | 0.00151382 | + | 0.00352213i | ||||
\(361\) | −134.439 | −0.372408 | ||||||||
\(362\) | 404.259 | − | 371.148i | 1.11674 | − | 1.02527i | ||||
\(363\) | 211.523 | + | 160.574i | 0.582708 | + | 0.442353i | ||||
\(364\) | −18.6277 | + | 217.721i | −0.0511751 | + | 0.598136i | ||||
\(365\) | 0.442637 | − | 0.255557i | 0.00121270 | − | 0.000700155i | ||||
\(366\) | 301.066 | + | 424.401i | 0.822586 | + | 1.15956i | ||||
\(367\) | −227.281 | − | 131.221i | −0.619295 | − | 0.357550i | 0.157299 | − | 0.987551i | \(-0.449721\pi\) |
−0.776595 | + | 0.630001i | \(0.783055\pi\) | |||||||
\(368\) | −679.287 | + | 250.193i | −1.84589 | + | 0.679873i | ||||
\(369\) | 505.920 | + | 129.961i | 1.37106 | + | 0.352198i | ||||
\(370\) | −0.614019 | + | 1.95395i | −0.00165951 | + | 0.00528094i | ||||
\(371\) | 2.32721 | − | 4.03085i | 0.00627281 | − | 0.0108648i | ||||
\(372\) | 271.284 | + | 245.068i | 0.729258 | + | 0.658785i | ||||
\(373\) | −97.0579 | + | 56.0364i | −0.260209 | + | 0.150232i | −0.624430 | − | 0.781081i | \(-0.714669\pi\) |
0.364221 | + | 0.931313i | \(0.381335\pi\) | |||||||
\(374\) | −4.19215 | + | 0.933594i | −0.0112090 | + | 0.00249624i | ||||
\(375\) | 1.11404 | + | 2.65064i | 0.00297078 | + | 0.00706837i | ||||
\(376\) | −313.549 | + | 42.1969i | −0.833907 | + | 0.112226i | ||||
\(377\) | 429.311 | 1.13876 | ||||||||
\(378\) | −250.746 | − | 39.9614i | −0.663348 | − | 0.105718i | ||||
\(379\) | 305.554 | 0.806210 | 0.403105 | − | 0.915154i | \(-0.367931\pi\) | ||||
0.403105 | + | 0.915154i | \(0.367931\pi\) | |||||||
\(380\) | −0.489741 | − | 1.04502i | −0.00128879 | − | 0.00275005i | ||||
\(381\) | −44.4421 | − | 105.741i | −0.116646 | − | 0.277535i | ||||
\(382\) | −37.8320 | − | 169.878i | −0.0990366 | − | 0.444708i | ||||
\(383\) | 50.9660 | − | 29.4252i | 0.133070 | − | 0.0768283i | −0.431987 | − | 0.901880i | \(-0.642187\pi\) |
0.565057 | + | 0.825052i | \(0.308854\pi\) | |||||||
\(384\) | 243.317 | − | 297.074i | 0.633637 | − | 0.773630i | ||||
\(385\) | −0.256823 | + | 0.444830i | −0.000667071 | + | 0.00115540i | ||||
\(386\) | −62.1325 | + | 197.719i | −0.160965 | + | 0.512227i | ||||
\(387\) | 111.536 | + | 399.657i | 0.288207 | + | 1.03270i | ||||
\(388\) | 366.998 | + | 255.928i | 0.945872 | + | 0.659609i | ||||
\(389\) | 417.667 | + | 241.140i | 1.07369 | + | 0.619897i | 0.929188 | − | 0.369607i | \(-0.120508\pi\) |
0.144505 | + | 0.989504i | \(0.453841\pi\) | |||||||
\(390\) | −1.08984 | + | 0.773122i | −0.00279445 | + | 0.00198236i | ||||
\(391\) | −14.7643 | + | 8.52420i | −0.0377605 | + | 0.0218010i | ||||
\(392\) | 198.987 | + | 81.7537i | 0.507620 | + | 0.208555i | ||||
\(393\) | −295.828 | − | 224.573i | −0.752742 | − | 0.571431i | ||||
\(394\) | −294.884 | + | 270.732i | −0.748436 | + | 0.687136i | ||||
\(395\) | −2.68279 | −0.00679188 | ||||||||
\(396\) | 201.591 | − | 38.1026i | 0.509069 | − | 0.0962187i | ||||
\(397\) | 74.8863i | 0.188631i | 0.995542 | + | 0.0943153i | \(0.0300662\pi\) | ||||
−0.995542 | + | 0.0943153i | \(0.969934\pi\) | |||||||
\(398\) | −263.523 | + | 241.939i | −0.662117 | + | 0.607887i | ||||
\(399\) | 210.648 | + | 26.6235i | 0.527941 | + | 0.0667256i | ||||
\(400\) | 255.935 | − | 307.397i | 0.639837 | − | 0.768492i | ||||
\(401\) | −299.864 | − | 519.380i | −0.747791 | − | 1.29521i | −0.948879 | − | 0.315639i | \(-0.897781\pi\) |
0.201088 | − | 0.979573i | \(-0.435552\pi\) | |||||||
\(402\) | −38.2146 | − | 407.948i | −0.0950613 | − | 1.01480i | ||||
\(403\) | −176.977 | + | 306.534i | −0.439150 | + | 0.760629i | ||||
\(404\) | 245.608 | − | 352.199i | 0.607941 | − | 0.871781i | ||||
\(405\) | −0.804000 | − | 1.32826i | −0.00198518 | − | 0.00327965i | ||||
\(406\) | −104.176 | + | 331.512i | −0.256592 | + | 0.816533i | ||||
\(407\) | 263.675 | + | 152.233i | 0.647851 | + | 0.374037i | ||||
\(408\) | 4.45855 | − | 7.86808i | 0.0109278 | − | 0.0192845i | ||||
\(409\) | 274.176 | + | 474.886i | 0.670356 | + | 1.16109i | 0.977803 | + | 0.209526i | \(0.0671921\pi\) |
−0.307447 | + | 0.951565i | \(0.599475\pi\) | |||||||
\(410\) | 0.483661 | + | 2.17180i | 0.00117966 | + | 0.00529708i | ||||
\(411\) | 42.2780 | − | 334.508i | 0.102866 | − | 0.813889i | ||||
\(412\) | 86.3785 | + | 184.316i | 0.209656 | + | 0.447369i | ||||
\(413\) | − | 276.791i | − | 0.670197i | ||||||
\(414\) | 718.067 | − | 384.190i | 1.73446 | − | 0.927994i | ||||
\(415\) | − | 1.57154i | − | 0.00378685i | ||||||
\(416\) | 330.594 | + | 170.088i | 0.794697 | + | 0.408865i | ||||
\(417\) | 268.518 | + | 203.841i | 0.643927 | + | 0.488827i | ||||
\(418\) | −167.457 | + | 37.2927i | −0.400614 | + | 0.0892170i | ||||
\(419\) | −134.464 | − | 232.899i | −0.320917 | − | 0.555845i | 0.659761 | − | 0.751476i | \(-0.270658\pi\) |
−0.980677 | + | 0.195631i | \(0.937324\pi\) | |||||||
\(420\) | −0.332543 | − | 1.02917i | −0.000791768 | − | 0.00245041i | ||||
\(421\) | −235.498 | − | 135.965i | −0.559378 | − | 0.322957i | 0.193518 | − | 0.981097i | \(-0.438010\pi\) |
−0.752896 | + | 0.658140i | \(0.771344\pi\) | |||||||
\(422\) | 114.291 | − | 363.700i | 0.270832 | − | 0.861848i | ||||
\(423\) | 342.822 | − | 95.6747i | 0.810455 | − | 0.226181i | ||||
\(424\) | −4.83882 | − | 6.26867i | −0.0114123 | − | 0.0147846i | ||||
\(425\) | 4.71010 | − | 8.15813i | 0.0110826 | − | 0.0191956i | ||||
\(426\) | −105.988 | + | 230.983i | −0.248799 | + | 0.542214i | ||||
\(427\) | −203.889 | − | 353.147i | −0.477493 | − | 0.827042i | ||||
\(428\) | 16.9531 | − | 198.149i | 0.0396101 | − | 0.462964i | ||||
\(429\) | 76.9628 | + | 183.117i | 0.179400 | + | 0.426846i | ||||
\(430\) | −1.30195 | + | 1.19532i | −0.00302780 | + | 0.00277981i | ||||
\(431\) | − | 140.920i | − | 0.326960i | −0.986547 | − | 0.163480i | \(-0.947728\pi\) | ||
0.986547 | − | 0.163480i | \(-0.0522719\pi\) | |||||||
\(432\) | −225.014 | + | 368.772i | −0.520866 | + | 0.853638i | ||||
\(433\) | 649.144 | 1.49918 | 0.749589 | − | 0.661903i | \(-0.230251\pi\) | ||||
0.749589 | + | 0.661903i | \(0.230251\pi\) | |||||||
\(434\) | −193.759 | − | 211.044i | −0.446449 | − | 0.486278i | ||||
\(435\) | −1.95892 | + | 0.823320i | −0.00450326 | + | 0.00189269i | ||||
\(436\) | 160.761 | + | 13.7543i | 0.368717 | + | 0.0315466i | ||||
\(437\) | −589.766 | + | 340.502i | −1.34958 | + | 0.779180i | ||||
\(438\) | 145.409 | + | 66.7222i | 0.331984 | + | 0.152334i | ||||
\(439\) | −135.712 | − | 78.3535i | −0.309140 | − | 0.178482i | 0.337402 | − | 0.941361i | \(-0.390452\pi\) |
−0.646541 | + | 0.762879i | \(0.723785\pi\) | |||||||
\(440\) | 0.533994 | + | 0.691787i | 0.00121362 | + | 0.00157224i | ||||
\(441\) | −234.407 | − | 60.2146i | −0.531535 | − | 0.136541i | ||||
\(442\) | 8.35307 | + | 2.62491i | 0.0188983 | + | 0.00593872i | ||||
\(443\) | 6.92104 | − | 11.9876i | 0.0156231 | − | 0.0270600i | −0.858108 | − | 0.513469i | \(-0.828360\pi\) |
0.873731 | + | 0.486409i | \(0.161693\pi\) | |||||||
\(444\) | −610.048 | + | 197.117i | −1.37398 | + | 0.443956i | ||||
\(445\) | −0.707787 | + | 0.408641i | −0.00159053 | + | 0.000918295i | ||||
\(446\) | 94.5976 | + | 424.775i | 0.212102 | + | 0.952411i | ||||
\(447\) | 0.405977 | − | 0.534790i | 0.000908225 | − | 0.00119640i | ||||
\(448\) | −211.563 | + | 214.010i | −0.472239 | + | 0.477701i | ||||
\(449\) | −682.313 | −1.51963 | −0.759814 | − | 0.650140i | \(-0.774710\pi\) | ||||
−0.759814 | + | 0.650140i | \(0.774710\pi\) | |||||||
\(450\) | −237.472 | + | 382.232i | −0.527716 | + | 0.849404i | ||||
\(451\) | 330.756 | 0.733383 | ||||||||
\(452\) | 93.7449 | − | 43.9329i | 0.207400 | − | 0.0971967i | ||||
\(453\) | −367.286 | − | 46.4207i | −0.810786 | − | 0.102474i | ||||
\(454\) | 267.788 | − | 59.6365i | 0.589842 | − | 0.131358i | ||||
\(455\) | 0.906861 | − | 0.523577i | 0.00199310 | − | 0.00115072i | ||||
\(456\) | 178.098 | − | 314.293i | 0.390566 | − | 0.689239i | ||||
\(457\) | −140.879 | + | 244.010i | −0.308270 | + | 0.533938i | −0.977984 | − | 0.208680i | \(-0.933083\pi\) |
0.669714 | + | 0.742619i | \(0.266417\pi\) | |||||||
\(458\) | −489.438 | − | 153.804i | −1.06864 | − | 0.335816i | ||||
\(459\) | −3.74694 | + | 9.45886i | −0.00816326 | + | 0.0206075i | ||||
\(460\) | 2.84543 | + | 1.98428i | 0.00618573 | + | 0.00431365i | ||||
\(461\) | −556.528 | − | 321.312i | −1.20722 | − | 0.696989i | −0.245069 | − | 0.969506i | \(-0.578811\pi\) |
−0.962151 | + | 0.272517i | \(0.912144\pi\) | |||||||
\(462\) | −160.078 | + | 14.9953i | −0.346489 | + | 0.0324575i | ||||
\(463\) | 528.367 | − | 305.053i | 1.14118 | − | 0.658861i | 0.194458 | − | 0.980911i | \(-0.437705\pi\) |
0.946723 | + | 0.322050i | \(0.104372\pi\) | |||||||
\(464\) | 454.358 | + | 378.293i | 0.979220 | + | 0.815287i | ||||
\(465\) | 0.219675 | − | 1.73810i | 0.000472420 | − | 0.00373784i | ||||
\(466\) | 413.191 | + | 450.052i | 0.886676 | + | 0.965777i | ||||
\(467\) | 289.260 | 0.619400 | 0.309700 | − | 0.950834i | \(-0.399771\pi\) | ||||
0.309700 | + | 0.950834i | \(0.399771\pi\) | |||||||
\(468\) | −394.757 | − | 138.218i | −0.843498 | − | 0.295337i | ||||
\(469\) | 321.098i | 0.684643i | ||||||||
\(470\) | 1.02533 | + | 1.11680i | 0.00218156 | + | 0.00237618i | ||||
\(471\) | −354.941 | + | 467.561i | −0.753590 | + | 0.992698i | ||||
\(472\) | −435.599 | − | 178.965i | −0.922879 | − | 0.379164i | ||||
\(473\) | 131.369 | + | 227.538i | 0.277736 | + | 0.481052i | ||||
\(474\) | −485.876 | − | 684.919i | −1.02506 | − | 1.44498i | ||||
\(475\) | 188.146 | − | 325.879i | 0.396098 | − | 0.686061i | ||||
\(476\) | −4.05390 | + | 5.81325i | −0.00851659 | + | 0.0122127i | ||||
\(477\) | 6.36442 | + | 6.23395i | 0.0133426 | + | 0.0130691i | ||||
\(478\) | −150.845 | − | 47.4023i | −0.315575 | − | 0.0991680i | ||||
\(479\) | 115.068 | + | 66.4346i | 0.240226 | + | 0.138694i | 0.615281 | − | 0.788308i | \(-0.289043\pi\) |
−0.375055 | + | 0.927003i | \(0.622376\pi\) | |||||||
\(480\) | −1.83467 | − | 0.142097i | −0.00382223 | − | 0.000296036i | ||||
\(481\) | −310.353 | − | 537.547i | −0.645224 | − | 1.11756i | ||||
\(482\) | 434.957 | − | 96.8651i | 0.902401 | − | 0.200965i | ||||
\(483\) | −588.358 | + | 247.283i | −1.21813 | + | 0.511972i | ||||
\(484\) | −320.627 | + | 150.260i | −0.662452 | + | 0.310454i | ||||
\(485\) | − | 2.14409i | − | 0.00442081i | ||||||
\(486\) | 193.494 | − | 445.820i | 0.398137 | − | 0.917326i | ||||
\(487\) | − | 800.882i | − | 1.64452i | −0.569111 | − | 0.822261i | \(-0.692713\pi\) | ||
0.569111 | − | 0.822261i | \(-0.307287\pi\) | |||||||
\(488\) | −687.592 | + | 92.5351i | −1.40900 | + | 0.189621i | ||||
\(489\) | 99.8423 | − | 41.9630i | 0.204176 | − | 0.0858139i | ||||
\(490\) | −0.224094 | − | 1.00626i | −0.000457334 | − | 0.00205358i | ||||
\(491\) | −416.975 | − | 722.222i | −0.849236 | − | 1.47092i | −0.881891 | − | 0.471454i | \(-0.843730\pi\) |
0.0326547 | − | 0.999467i | \(-0.489604\pi\) | |||||||
\(492\) | −466.868 | + | 516.810i | −0.948918 | + | 1.05043i | ||||
\(493\) | 12.0584 | + | 6.96193i | 0.0244593 | + | 0.0141216i | ||||
\(494\) | 333.666 | + | 104.853i | 0.675437 | + | 0.212253i | ||||
\(495\) | −0.702353 | − | 0.687955i | −0.00141890 | − | 0.00138981i | ||||
\(496\) | −457.409 | + | 168.472i | −0.922196 | + | 0.339661i | ||||
\(497\) | 99.5810 | − | 172.479i | 0.200364 | − | 0.347041i | ||||
\(498\) | 401.216 | − | 284.619i | 0.805654 | − | 0.571524i | ||||
\(499\) | −62.9732 | − | 109.073i | −0.126199 | − | 0.218583i | 0.796002 | − | 0.605294i | \(-0.206944\pi\) |
−0.922201 | + | 0.386711i | \(0.873611\pi\) | |||||||
\(500\) | −3.81969 | − | 0.326804i | −0.00763938 | − | 0.000653608i | ||||
\(501\) | 188.240 | − | 247.967i | 0.375728 | − | 0.494944i | ||||
\(502\) | 532.073 | + | 579.540i | 1.05991 | + | 1.15446i | ||||
\(503\) | − | 321.537i | − | 0.639239i | −0.947546 | − | 0.319619i | \(-0.896445\pi\) | ||
0.947546 | − | 0.319619i | \(-0.103555\pi\) | |||||||
\(504\) | 202.523 | − | 271.290i | 0.401831 | − | 0.538275i | ||||
\(505\) | −2.05763 | −0.00407452 | ||||||||
\(506\) | 379.864 | − | 348.751i | 0.750719 | − | 0.689232i | ||||
\(507\) | −12.7964 | + | 101.247i | −0.0252395 | + | 0.199698i | ||||
\(508\) | 152.377 | + | 13.0370i | 0.299955 | + | 0.0256635i | ||||
\(509\) | −473.601 | + | 273.434i | −0.930455 | + | 0.537198i | −0.886955 | − | 0.461855i | \(-0.847184\pi\) |
−0.0434992 | + | 0.999053i | \(0.513851\pi\) | |||||||
\(510\) | −0.0431485 | + | 0.00404195i | −8.46049e−5 | + | 7.92539e-6i | ||||
\(511\) | −108.580 | − | 62.6885i | −0.212485 | − | 0.122678i | ||||
\(512\) | 200.006 | + | 471.319i | 0.390638 | + | 0.920545i | ||||
\(513\) | −149.673 | + | 377.837i | −0.291759 | + | 0.736524i | ||||
\(514\) | −107.519 | + | 342.149i | −0.209181 | + | 0.665660i | ||||
\(515\) | 0.487722 | − | 0.844758i | 0.000947032 | − | 0.00164031i | ||||
\(516\) | −540.960 | − | 115.908i | −1.04837 | − | 0.224627i | ||||
\(517\) | 195.180 | − | 112.687i | 0.377524 | − | 0.217964i | ||||
\(518\) | 490.402 | − | 109.213i | 0.946722 | − | 0.210835i | ||||
\(519\) | 184.203 | + | 23.2811i | 0.354919 | + | 0.0448576i | ||||
\(520\) | −0.237625 | − | 1.76570i | −0.000456971 | − | 0.00339557i | ||||
\(521\) | 774.144 | 1.48588 | 0.742940 | − | 0.669358i | \(-0.233431\pi\) | ||||
0.742940 | + | 0.669358i | \(0.233431\pi\) | |||||||
\(522\) | −564.971 | − | 351.004i | −1.08232 | − | 0.672421i | ||||
\(523\) | 126.448 | 0.241774 | 0.120887 | − | 0.992666i | \(-0.461426\pi\) | ||||
0.120887 | + | 0.992666i | \(0.461426\pi\) | |||||||
\(524\) | 448.416 | − | 210.147i | 0.855756 | − | 0.401044i | ||||
\(525\) | 213.227 | − | 280.882i | 0.406146 | − | 0.535013i | ||||
\(526\) | −121.346 | − | 544.883i | −0.230695 | − | 1.03590i | ||||
\(527\) | −9.94182 | + | 5.73991i | −0.0188649 | + | 0.0108917i | ||||
\(528\) | −79.9031 | + | 261.618i | −0.151332 | + | 0.495488i | ||||
\(529\) | 758.991 | − | 1314.61i | 1.43477 | − | 2.48509i | ||||
\(530\) | −0.0113767 | + | 0.0362031i | −2.14654e−5 | + | 6.83077e-5i | ||||
\(531\) | 513.136 | + | 131.815i | 0.966358 | + | 0.248238i | ||||
\(532\) | −161.934 | + | 232.212i | −0.304387 | + | 0.436489i | ||||
\(533\) | −583.963 | − | 337.151i | −1.09562 | − | 0.632554i | ||||
\(534\) | −232.513 | − | 106.690i | −0.435417 | − | 0.199795i | ||||
\(535\) | −0.825336 | + | 0.476508i | −0.00154268 | + | 0.000890669i | ||||
\(536\) | 505.326 | + | 207.613i | 0.942772 | + | 0.387337i | ||||
\(537\) | −652.603 | + | 274.284i | −1.21528 | + | 0.510772i | ||||
\(538\) | 165.686 | − | 152.116i | 0.307967 | − | 0.282743i | ||||
\(539\) | −153.248 | −0.284320 | ||||||||
\(540\) | 2.06632 | − | 0.126375i | 0.00382653 | − | 0.000234028i | ||||
\(541\) | 323.091i | 0.597210i | 0.954377 | + | 0.298605i | \(0.0965213\pi\) | ||||
−0.954377 | + | 0.298605i | \(0.903479\pi\) | |||||||
\(542\) | −737.041 | + | 676.674i | −1.35985 | + | 1.24848i | ||||
\(543\) | −318.956 | − | 758.889i | −0.587396 | − | 1.39759i | ||||
\(544\) | 6.52743 | + | 10.1385i | 0.0119990 | + | 0.0186369i | ||||
\(545\) | −0.386598 | − | 0.669607i | −0.000709353 | − | 0.00122864i | ||||
\(546\) | 297.910 | + | 136.698i | 0.545622 | + | 0.250363i | ||||
\(547\) | 42.9079 | − | 74.3187i | 0.0784423 | − | 0.135866i | −0.824136 | − | 0.566392i | \(-0.808339\pi\) |
0.902578 | + | 0.430526i | \(0.141672\pi\) | |||||||
\(548\) | 368.751 | + | 257.150i | 0.672903 | + | 0.469252i | ||||
\(549\) | 751.787 | − | 209.808i | 1.36938 | − | 0.382165i | ||||
\(550\) | −85.4230 | + | 271.835i | −0.155315 | + | 0.494246i | ||||
\(551\) | 481.677 | + | 278.096i | 0.874187 | + | 0.504712i | ||||
\(552\) | 8.74408 | + | 1085.81i | 0.0158407 | + | 1.96705i | ||||
\(553\) | 329.047 | + | 569.926i | 0.595022 | + | 1.03061i | ||||
\(554\) | 111.762 | + | 501.848i | 0.201736 | + | 0.905863i | ||||
\(555\) | 2.44701 | + | 1.85761i | 0.00440903 | + | 0.00334704i | ||||
\(556\) | −407.020 | + | 190.747i | −0.732050 | + | 0.343070i | ||||
\(557\) | 666.623i | 1.19681i | 0.801194 | + | 0.598405i | \(0.204199\pi\) | ||||
−0.801194 | + | 0.598405i | \(0.795801\pi\) | |||||||
\(558\) | 483.523 | − | 258.700i | 0.866528 | − | 0.463621i | ||||
\(559\) | − | 535.636i | − | 0.958204i | ||||||
\(560\) | 1.42113 | + | 0.244970i | 0.00253773 | + | 0.000437446i | ||||
\(561\) | −0.807803 | + | 6.39143i | −0.00143993 | + | 0.0113929i | ||||
\(562\) | 543.596 | − | 121.059i | 0.967253 | − | 0.215408i | ||||
\(563\) | 234.690 | + | 406.495i | 0.416856 | + | 0.722016i | 0.995621 | − | 0.0934780i | \(-0.0297985\pi\) |
−0.578765 | + | 0.815494i | \(0.696465\pi\) | |||||||
\(564\) | −99.4247 | + | 464.031i | −0.176285 | + | 0.822750i | ||||
\(565\) | −0.429652 | − | 0.248060i | −0.000760446 | − | 0.000439044i | ||||
\(566\) | −112.663 | + | 358.518i | −0.199051 | + | 0.633424i | ||||
\(567\) | −183.561 | + | 333.712i | −0.323740 | + | 0.588557i | ||||
\(568\) | −207.052 | − | 268.235i | −0.364528 | − | 0.472245i | ||||
\(569\) | −129.732 | + | 224.702i | −0.228000 | + | 0.394907i | −0.957215 | − | 0.289377i | \(-0.906552\pi\) |
0.729215 | + | 0.684284i | \(0.239885\pi\) | |||||||
\(570\) | −1.72358 | + | 0.161457i | −0.00302383 | + | 0.000283258i | ||||
\(571\) | 38.3743 | + | 66.4663i | 0.0672055 | + | 0.116403i | 0.897670 | − | 0.440668i | \(-0.145258\pi\) |
−0.830465 | + | 0.557071i | \(0.811925\pi\) | |||||||
\(572\) | −263.880 | − | 22.5770i | −0.461329 | − | 0.0394702i | ||||
\(573\) | −259.000 | − | 32.7346i | −0.452006 | − | 0.0571284i | ||||
\(574\) | 402.051 | − | 369.121i | 0.700437 | − | 0.643068i | ||||
\(575\) | 1131.07i | 1.96708i | ||||||||
\(576\) | −295.996 | − | 494.128i | −0.513883 | − | 0.857861i | ||||
\(577\) | 289.811 | 0.502272 | 0.251136 | − | 0.967952i | \(-0.419196\pi\) | ||||
0.251136 | + | 0.967952i | \(0.419196\pi\) | |||||||
\(578\) | −390.707 | − | 425.563i | −0.675964 | − | 0.736268i | ||||
\(579\) | 247.613 | + | 187.971i | 0.427656 | + | 0.324648i | ||||
\(580\) | 0.241520 | − | 2.82289i | 0.000416414 | − | 0.00486706i | ||||
\(581\) | −333.854 | + | 192.751i | −0.574620 | + | 0.331757i | ||||
\(582\) | 547.388 | − | 388.313i | 0.940530 | − | 0.667204i | ||||
\(583\) | 4.88542 | + | 2.82060i | 0.00837980 | + | 0.00483808i | ||||
\(584\) | −168.860 | + | 130.344i | −0.289144 | + | 0.223192i | ||||
\(585\) | 0.538776 | + | 1.93055i | 0.000920985 | + | 0.00330008i | ||||
\(586\) | 975.981 | + | 306.697i | 1.66550 | + | 0.523375i | ||||
\(587\) | 136.875 | − | 237.074i | 0.233177 | − | 0.403874i | −0.725565 | − | 0.688154i | \(-0.758421\pi\) |
0.958741 | + | 0.284280i | \(0.0917547\pi\) | |||||||
\(588\) | 216.313 | − | 239.453i | 0.367879 | − | 0.407233i | ||||
\(589\) | −397.129 | + | 229.282i | −0.674243 | + | 0.389274i | ||||
\(590\) | 0.490559 | + | 2.20278i | 0.000831456 | + | 0.00373352i | ||||
\(591\) | 232.660 | + | 553.567i | 0.393672 | + | 0.936662i | ||||
\(592\) | 145.207 | − | 842.381i | 0.245282 | − | 1.42294i | ||||
\(593\) | −461.865 | −0.778861 | −0.389431 | − | 0.921056i | \(-0.627328\pi\) | ||||
−0.389431 | + | 0.921056i | \(0.627328\pi\) | |||||||
\(594\) | 48.4335 | − | 303.906i | 0.0815379 | − | 0.511626i | ||||
\(595\) | 0.0339624 | 5.70796e−5 | ||||||||
\(596\) | 0.379899 | + | 0.810636i | 0.000637414 | + | 0.00136013i | ||||
\(597\) | 207.917 | + | 494.695i | 0.348269 | + | 0.828634i | ||||
\(598\) | −1026.16 | + | 228.526i | −1.71599 | + | 0.382151i | ||||
\(599\) | 551.557 | − | 318.442i | 0.920797 | − | 0.531622i | 0.0369077 | − | 0.999319i | \(-0.488249\pi\) |
0.883889 | + | 0.467696i | \(0.154916\pi\) | |||||||
\(600\) | −304.170 | − | 517.175i | −0.506950 | − | 0.861958i | ||||
\(601\) | −456.737 | + | 791.092i | −0.759962 | + | 1.31629i | 0.182908 | + | 0.983130i | \(0.441449\pi\) |
−0.942869 | + | 0.333162i | \(0.891884\pi\) | |||||||
\(602\) | 413.616 | + | 129.977i | 0.687070 | + | 0.215909i | ||||
\(603\) | −595.275 | − | 152.914i | −0.987189 | − | 0.253589i | ||||
\(604\) | 282.348 | − | 404.884i | 0.467464 | − | 0.670338i | ||||
\(605\) | 1.46950 | + | 0.848416i | 0.00242892 | + | 0.00140234i | ||||
\(606\) | −372.654 | − | 525.315i | −0.614941 | − | 0.866857i | ||||
\(607\) | −108.688 | + | 62.7511i | −0.179058 | + | 0.103379i | −0.586850 | − | 0.809696i | \(-0.699632\pi\) |
0.407792 | + | 0.913075i | \(0.366299\pi\) | |||||||
\(608\) | 260.740 | + | 404.985i | 0.428849 | + | 0.666093i | ||||
\(609\) | 415.167 | + | 315.167i | 0.681720 | + | 0.517516i | ||||
\(610\) | 2.24849 | + | 2.44908i | 0.00368605 | + | 0.00401489i | ||||
\(611\) | −459.464 | −0.751987 | ||||||||
\(612\) | −8.84647 | − | 10.2838i | −0.0144550 | − | 0.0168036i | ||||
\(613\) | 929.305i | 1.51600i | 0.652257 | + | 0.757998i | \(0.273822\pi\) | ||||
−0.652257 | + | 0.757998i | \(0.726178\pi\) | |||||||
\(614\) | −264.952 | − | 288.589i | −0.431519 | − | 0.470015i | ||||
\(615\) | 3.31117 | + | 0.418493i | 0.00538401 | + | 0.000680477i | ||||
\(616\) | 81.4668 | − | 198.289i | 0.132251 | − | 0.321897i | ||||
\(617\) | 9.42520 | + | 16.3249i | 0.0152759 | + | 0.0264585i | 0.873562 | − | 0.486712i | \(-0.161804\pi\) |
−0.858286 | + | 0.513171i | \(0.828471\pi\) | |||||||
\(618\) | 303.998 | − | 28.4771i | 0.491906 | − | 0.0460794i | ||||
\(619\) | 158.239 | − | 274.079i | 0.255637 | − | 0.442777i | −0.709431 | − | 0.704775i | \(-0.751048\pi\) |
0.965068 | + | 0.261998i | \(0.0843814\pi\) | |||||||
\(620\) | 1.91602 | + | 1.33615i | 0.00309036 | + | 0.00215507i | ||||
\(621\) | −178.241 | − | 1208.50i | −0.287022 | − | 1.94606i | ||||
\(622\) | −871.341 | − | 273.815i | −1.40087 | − | 0.440217i | ||||
\(623\) | 173.622 | + | 100.240i | 0.278686 | + | 0.160900i | ||||
\(624\) | 407.748 | − | 380.449i | 0.653443 | − | 0.609693i | ||||
\(625\) | −312.486 | − | 541.242i | −0.499978 | − | 0.865987i | ||||
\(626\) | −723.532 | + | 161.131i | −1.15580 | + | 0.257397i | ||||
\(627\) | −32.2679 | + | 255.308i | −0.0514640 | + | 0.407189i | ||||
\(628\) | −332.141 | − | 708.729i | −0.528887 | − | 1.12855i | ||||
\(629\) | − | 20.1314i | − | 0.0320054i | ||||||
\(630\) | −1.62150 | − | 0.0524238i | −0.00257381 | − | 8.32125e-5i | ||||
\(631\) | − | 254.226i | − | 0.402893i | −0.979499 | − | 0.201447i | \(-0.935436\pi\) | ||
0.979499 | − | 0.201447i | \(-0.0645643\pi\) | |||||||
\(632\) | 1109.67 | − | 149.338i | 1.75581 | − | 0.236294i | ||||
\(633\) | −455.477 | − | 345.768i | −0.719553 | − | 0.546237i | ||||
\(634\) | 218.570 | + | 981.454i | 0.344748 | + | 1.54803i | ||||
\(635\) | −0.366437 | − | 0.634688i | −0.000577066 | − | 0.000999508i | ||||
\(636\) | −11.3031 | + | 3.65221i | −0.0177722 | + | 0.00574247i | ||||
\(637\) | 270.566 | + | 156.212i | 0.424751 | + | 0.245230i | ||||
\(638\) | −401.796 | − | 126.262i | −0.629774 | − | 0.197904i | ||||
\(639\) | 272.332 | + | 266.749i | 0.426185 | + | 0.417448i | ||||
\(640\) | 1.30438 | − | 2.07810i | 0.00203810 | − | 0.00324703i | ||||
\(641\) | −509.350 | + | 882.221i | −0.794618 | + | 1.37632i | 0.128463 | + | 0.991714i | \(0.458996\pi\) |
−0.923081 | + | 0.384605i | \(0.874338\pi\) | |||||||
\(642\) | −271.128 | − | 124.409i | −0.422318 | − | 0.193784i | ||||
\(643\) | 302.348 | + | 523.683i | 0.470215 | + | 0.814436i | 0.999420 | − | 0.0340578i | \(-0.0108430\pi\) |
−0.529205 | + | 0.848494i | \(0.677510\pi\) | |||||||
\(644\) | 72.5401 | − | 847.851i | 0.112640 | − | 1.31654i | ||||
\(645\) | 1.02723 | + | 2.44407i | 0.00159260 | + | 0.00378926i | ||||
\(646\) | 7.67160 | + | 8.35599i | 0.0118755 | + | 0.0129350i | ||||
\(647\) | − | 86.7767i | − | 0.134122i | −0.997749 | − | 0.0670608i | \(-0.978638\pi\) | ||
0.997749 | − | 0.0670608i | \(-0.0213622\pi\) | |||||||
\(648\) | 406.492 | + | 504.647i | 0.627303 | + | 0.778776i | ||||
\(649\) | 335.473 | 0.516908 | ||||||||
\(650\) | 427.909 | − | 392.862i | 0.658322 | − | 0.604402i | ||||
\(651\) | −396.181 | + | 166.512i | −0.608572 | + | 0.255779i | ||||
\(652\) | −12.3098 | + | 143.877i | −0.0188801 | + | 0.220671i | ||||
\(653\) | 346.903 | − | 200.285i | 0.531245 | − | 0.306714i | −0.210278 | − | 0.977642i | \(-0.567437\pi\) |
0.741523 | + | 0.670927i | \(0.234104\pi\) | |||||||
\(654\) | 100.935 | − | 219.970i | 0.154335 | − | 0.336346i | ||||
\(655\) | −2.05518 | − | 1.18656i | −0.00313768 | − | 0.00181154i | ||||
\(656\) | −320.948 | − | 871.389i | −0.489250 | − | 1.32834i | ||||
\(657\) | 167.925 | − | 171.439i | 0.255593 | − | 0.260943i | ||||
\(658\) | 111.493 | − | 354.797i | 0.169443 | − | 0.539205i | ||||
\(659\) | 28.0360 | − | 48.5597i | 0.0425432 | − | 0.0736870i | −0.843970 | − | 0.536391i | \(-0.819787\pi\) |
0.886513 | + | 0.462704i | \(0.153121\pi\) | |||||||
\(660\) | 1.24737 | − | 0.403044i | 0.00188995 | − | 0.000610673i | ||||
\(661\) | 675.562 | − | 390.036i | 1.02203 | − | 0.590069i | 0.107339 | − | 0.994222i | \(-0.465767\pi\) |
0.914691 | + | 0.404153i | \(0.132434\pi\) | |||||||
\(662\) | −733.277 | + | 163.301i | −1.10767 | + | 0.246678i | ||||
\(663\) | 7.94122 | − | 10.4609i | 0.0119777 | − | 0.0157781i | ||||
\(664\) | 87.4799 | + | 650.029i | 0.131747 | + | 0.978959i | ||||
\(665\) | 1.35664 | 0.00204006 | ||||||||
\(666\) | −31.0745 | + | 961.153i | −0.0466584 | + | 1.44317i | ||||
\(667\) | −1671.82 | −2.50648 | ||||||||
\(668\) | 176.148 | + | 375.868i | 0.263695 | + | 0.562677i | ||||
\(669\) | 647.620 | + | 81.8517i | 0.968042 | + | 0.122349i | ||||
\(670\) | −0.569084 | − | 2.55538i | −0.000849379 | − | 0.00381400i | ||||
\(671\) | 428.017 | − | 247.116i | 0.637879 | − | 0.368280i | ||||
\(672\) | 194.837 | + | 407.181i | 0.289936 | + | 0.605924i | ||||
\(673\) | −353.998 | + | 613.143i | −0.526001 | + | 0.911060i | 0.473541 | + | 0.880772i | \(0.342976\pi\) |
−0.999541 | + | 0.0302878i | \(0.990358\pi\) | |||||||
\(674\) | 193.368 | − | 615.340i | 0.286896 | − | 0.912967i | ||||
\(675\) | 419.176 | + | 529.058i | 0.621002 | + | 0.783790i | ||||
\(676\) | −111.611 | − | 77.8326i | −0.165105 | − | 0.115137i | ||||
\(677\) | −503.417 | − | 290.648i | −0.743600 | − | 0.429318i | 0.0797769 | − | 0.996813i | \(-0.474579\pi\) |
−0.823377 | + | 0.567495i | \(0.807913\pi\) | |||||||
\(678\) | −14.4837 | − | 154.616i | −0.0213624 | − | 0.228048i | ||||
\(679\) | −455.486 | + | 262.975i | −0.670818 | + | 0.387297i | ||||
\(680\) | 0.0219591 | − | 0.0534481i | 3.22928e−5 | − | 7.86001e-5i | ||||
\(681\) | 51.6012 | − | 408.275i | 0.0757727 | − | 0.599522i | ||||
\(682\) | 255.788 | − | 234.838i | 0.375055 | − | 0.344337i | ||||
\(683\) | 558.887 | 0.818282 | 0.409141 | − | 0.912471i | \(-0.365828\pi\) | ||||
0.409141 | + | 0.912471i | \(0.365828\pi\) | |||||||
\(684\) | −353.375 | − | 410.790i | −0.516630 | − | 0.600571i | ||||
\(685\) | − | 2.15433i | − | 0.00314501i | ||||||
\(686\) | −525.720 | + | 482.661i | −0.766356 | + | 0.703588i | ||||
\(687\) | −465.306 | + | 612.944i | −0.677302 | + | 0.892204i | ||||
\(688\) | 471.983 | − | 566.887i | 0.686022 | − | 0.823963i | ||||
\(689\) | −5.75028 | − | 9.95977i | −0.00834583 | − | 0.0144554i | ||||
\(690\) | 4.24404 | − | 3.01069i | 0.00615079 | − | 0.00436332i | ||||
\(691\) | −158.856 | + | 275.147i | −0.229893 | + | 0.398187i | −0.957776 | − | 0.287515i | \(-0.907171\pi\) |
0.727883 | + | 0.685701i | \(0.240504\pi\) | |||||||
\(692\) | −141.604 | + | 203.059i | −0.204630 | + | 0.293438i | ||||
\(693\) | −60.0033 | + | 233.585i | −0.0865848 | + | 0.337063i | ||||
\(694\) | 50.8996 | − | 161.974i | 0.0733423 | − | 0.233392i | ||||
\(695\) | 1.86545 | + | 1.07702i | 0.00268411 | + | 0.00154967i | ||||
\(696\) | 764.428 | − | 449.589i | 1.09832 | − | 0.645962i | ||||
\(697\) | −10.9348 | − | 18.9397i | −0.0156884 | − | 0.0271732i | ||||
\(698\) | −17.8010 | − | 79.9326i | −0.0255029 | − | 0.114517i | ||||
\(699\) | 844.854 | − | 355.086i | 1.20866 | − | 0.507992i | ||||
\(700\) | 199.530 | + | 425.761i | 0.285043 | + | 0.608231i | ||||
\(701\) | − | 731.568i | − | 1.04361i | −0.853066 | − | 0.521803i | \(-0.825259\pi\) | ||
0.853066 | − | 0.521803i | \(-0.174741\pi\) | |||||||
\(702\) | −395.293 | + | 487.188i | −0.563096 | + | 0.694000i | ||||
\(703\) | − | 804.154i | − | 1.14389i | ||||||
\(704\) | −259.382 | − | 256.416i | −0.368440 | − | 0.364227i | ||||
\(705\) | 2.09651 | − | 0.881147i | 0.00297377 | − | 0.00124985i | ||||
\(706\) | −1064.77 | + | 237.125i | −1.50818 | + | 0.335871i | ||||
\(707\) | 252.371 | + | 437.119i | 0.356960 | + | 0.618272i | ||||
\(708\) | −473.527 | + | 524.181i | −0.668823 | + | 0.740369i | ||||
\(709\) | 112.277 | + | 64.8230i | 0.158359 | + | 0.0914288i | 0.577085 | − | 0.816684i | \(-0.304190\pi\) |
−0.418726 | + | 0.908113i | \(0.637523\pi\) | |||||||
\(710\) | −0.486805 | + | 1.54912i | −0.000685641 | + | 0.00218186i | ||||
\(711\) | −1213.27 | + | 338.600i | −1.70643 | + | 0.476230i | ||||
\(712\) | 270.012 | − | 208.423i | 0.379230 | − | 0.292729i | ||||
\(713\) | 689.185 | − | 1193.70i | 0.966599 | − | 1.67420i | ||||
\(714\) | 6.15087 | + | 8.67062i | 0.00861466 | + | 0.0121437i | ||||
\(715\) | 0.634579 | + | 1.09912i | 0.000887523 | + | 0.00153724i | ||||
\(716\) | 80.4611 | − | 940.431i | 0.112376 | − | 1.31345i | ||||
\(717\) | −143.407 | + | 188.910i | −0.200010 | + | 0.263472i | ||||
\(718\) | −35.5796 | + | 32.6655i | −0.0495538 | + | 0.0454951i | ||||
\(719\) | − | 726.317i | − | 1.01018i | −0.863068 | − | 0.505088i | \(-0.831460\pi\) | ||
0.863068 | − | 0.505088i | \(-0.168540\pi\) | |||||||
\(720\) | −1.13092 | + | 2.51793i | −0.00157072 | + | 0.00349713i | ||||
\(721\) | −239.278 | −0.331870 | ||||||||
\(722\) | −181.842 | − | 198.064i | −0.251858 | − | 0.274327i | ||||
\(723\) | 83.8137 | − | 663.143i | 0.115925 | − | 0.917211i | ||||
\(724\) | 1093.59 | + | 93.5654i | 1.51049 | + | 0.129234i | ||||
\(725\) | 800.013 | − | 461.888i | 1.10347 | − | 0.637087i | ||||
\(726\) | 49.5373 | + | 528.820i | 0.0682332 | + | 0.728402i | ||||
\(727\) | 498.049 | + | 287.549i | 0.685075 | + | 0.395528i | 0.801764 | − | 0.597640i | \(-0.203895\pi\) |
−0.116690 | + | 0.993168i | \(0.537228\pi\) | |||||||
\(728\) | −345.956 | + | 267.045i | −0.475214 | + | 0.366820i | ||||
\(729\) | −531.244 | − | 499.220i | −0.728730 | − | 0.684801i | ||||
\(730\) | 0.975209 | + | 0.306455i | 0.00133590 | + | 0.000419801i | ||||
\(731\) | 8.68615 | − | 15.0449i | 0.0118826 | − | 0.0205812i | ||||
\(732\) | −218.032 | + | 1017.59i | −0.297858 | + | 1.39015i | ||||
\(733\) | 113.103 | − | 65.3000i | 0.154301 | − | 0.0890859i | −0.420861 | − | 0.907125i | \(-0.638272\pi\) |
0.575163 | + | 0.818039i | \(0.304939\pi\) | |||||||
\(734\) | −114.097 | − | 512.333i | −0.155445 | − | 0.698001i | ||||
\(735\) | −1.53416 | − | 0.193900i | −0.00208729 | − | 0.000263809i | ||||
\(736\) | −1287.40 | − | 662.356i | −1.74918 | − | 0.899940i | ||||
\(737\) | −389.173 | −0.528050 | ||||||||
\(738\) | 492.838 | + | 921.136i | 0.667802 | + | 1.24815i | ||||
\(739\) | −61.7030 | −0.0834953 | −0.0417477 | − | 0.999128i | \(-0.513293\pi\) | ||||
−0.0417477 | + | 0.999128i | \(0.513293\pi\) | |||||||
\(740\) | −3.70919 | + | 1.73829i | −0.00501242 | + | 0.00234903i | ||||
\(741\) | 317.215 | − | 417.864i | 0.428090 | − | 0.563919i | ||||
\(742\) | 9.08626 | − | 2.02351i | 0.0122456 | − | 0.00272711i | ||||
\(743\) | −368.246 | + | 212.607i | −0.495620 | + | 0.286147i | −0.726903 | − | 0.686740i | \(-0.759041\pi\) |
0.231283 | + | 0.972887i | \(0.425708\pi\) | |||||||
\(744\) | 5.88797 | + | 731.149i | 0.00791394 | + | 0.982727i | ||||
\(745\) | 0.00214503 | − | 0.00371531i | 2.87924e−6 | − | 4.98699e-6i | ||||
\(746\) | −213.836 | − | 67.1970i | −0.286644 | − | 0.0900764i | ||||
\(747\) | −198.347 | − | 710.717i | −0.265524 | − | 0.951428i | ||||
\(748\) | −7.04570 | − | 4.91336i | −0.00941939 | − | 0.00656866i | ||||
\(749\) | 202.456 | + | 116.888i | 0.270302 | + | 0.156059i | ||||
\(750\) | −2.39823 | + | 5.22651i | −0.00319764 | + | 0.00696868i | ||||
\(751\) | −1180.47 | + | 681.543i | −1.57186 | + | 0.907514i | −0.575920 | + | 0.817506i | \(0.695356\pi\) |
−0.995941 | + | 0.0900084i | \(0.971311\pi\) | |||||||
\(752\) | −486.271 | − | 404.863i | −0.646637 | − | 0.538382i | ||||
\(753\) | 1087.93 | − | 457.251i | 1.44480 | − | 0.607239i | ||||
\(754\) | 580.683 | + | 632.486i | 0.770136 | + | 0.838841i | ||||
\(755\) | −2.36543 | −0.00313302 | ||||||||
\(756\) | −280.283 | − | 423.465i | −0.370745 | − | 0.560139i | ||||
\(757\) | − | 105.684i | − | 0.139610i | −0.997561 | − | 0.0698048i | \(-0.977762\pi\) | ||
0.997561 | − | 0.0698048i | \(-0.0222376\pi\) | |||||||
\(758\) | 413.290 | + | 450.159i | 0.545237 | + | 0.593878i | ||||
\(759\) | −299.709 | − | 713.094i | −0.394873 | − | 0.939518i | ||||
\(760\) | 0.877163 | − | 2.13500i | 0.00115416 | − | 0.00280921i | ||||
\(761\) | 452.651 | + | 784.015i | 0.594811 | + | 1.03024i | 0.993574 | + | 0.113189i | \(0.0361064\pi\) |
−0.398763 | + | 0.917054i | \(0.630560\pi\) | |||||||
\(762\) | 95.6715 | − | 208.499i | 0.125553 | − | 0.273621i | ||||
\(763\) | −94.8331 | + | 164.256i | −0.124290 | + | 0.215276i | ||||
\(764\) | 199.104 | − | 285.513i | 0.260607 | − | 0.373708i | ||||
\(765\) | −0.0161737 | + | 0.0629620i | −2.11421e−5 | + | 8.23032e-5i | ||||
\(766\) | 112.287 | + | 35.2858i | 0.146589 | + | 0.0460650i | ||||
\(767\) | −592.292 | − | 341.960i | −0.772219 | − | 0.445841i | ||||
\(768\) | 766.775 | − | 43.3519i | 0.998406 | − | 0.0564478i | ||||
\(769\) | −16.2383 | − | 28.1255i | −0.0211161 | − | 0.0365741i | 0.855274 | − | 0.518176i | \(-0.173389\pi\) |
−0.876390 | + | 0.481601i | \(0.840055\pi\) | |||||||
\(770\) | −1.00273 | + | 0.223307i | −0.00130224 | + | 0.000290010i | ||||
\(771\) | 428.489 | + | 325.280i | 0.555757 | + | 0.421893i | ||||
\(772\) | −375.332 | + | 175.897i | −0.486181 | + | 0.227846i | ||||
\(773\) | − | 367.930i | − | 0.475976i | −0.971268 | − | 0.237988i | \(-0.923512\pi\) | ||
0.971268 | − | 0.237988i | \(-0.0764880\pi\) | |||||||
\(774\) | −437.935 | + | 704.894i | −0.565807 | + | 0.910716i | ||||
\(775\) | 761.627i | 0.982744i | ||||||||
\(776\) | 119.351 | + | 886.850i | 0.153803 | + | 1.14285i | ||||
\(777\) | 94.4975 | − | 747.675i | 0.121618 | − | 0.962259i | ||||
\(778\) | 209.671 | + | 941.496i | 0.269501 | + | 1.21015i | ||||
\(779\) | −436.795 | − | 756.552i | −0.560713 | − | 0.971183i | ||||
\(780\) | −2.61311 | − | 0.559894i | −0.00335015 | − | 0.000717813i | ||||
\(781\) | 209.046 | + | 120.693i | 0.267665 | + | 0.154536i | ||||
\(782\) | −32.5285 | − | 10.2219i | −0.0415966 | − | 0.0130715i | ||||
\(783\) | −781.993 | + | 619.578i | −0.998714 | + | 0.791287i | ||||
\(784\) | 148.704 | + | 403.739i | 0.189674 | + | 0.514973i | ||||
\(785\) | −1.87538 | + | 3.24825i | −0.00238902 | + | 0.00413790i | ||||
\(786\) | −69.2809 | − | 739.586i | −0.0881436 | − | 0.940949i | ||||
\(787\) | 563.311 | + | 975.684i | 0.715770 | + | 1.23975i | 0.962662 | + | 0.270707i | \(0.0872576\pi\) |
−0.246891 | + | 0.969043i | \(0.579409\pi\) | |||||||
\(788\) | −797.716 | − | 68.2507i | −1.01233 | − | 0.0866125i | ||||
\(789\) | −830.738 | − | 104.996i | −1.05290 | − | 0.133074i | ||||
\(790\) | −3.62873 | − | 3.95245i | −0.00459333 | − | 0.00500310i | ||||
\(791\) | 121.699i | 0.153855i | ||||||||
\(792\) | 328.806 | + | 245.459i | 0.415159 | + | 0.309923i | ||||
\(793\) | −1007.58 | −1.27059 | ||||||||
\(794\) | −110.327 | + | 101.291i | −0.138951 | + | 0.127570i | ||||
\(795\) | 0.0453387 | + | 0.0344181i | 5.70299e−5 | + | 4.32933e-5i | ||||
\(796\) | −712.878 | − | 60.9921i | −0.895575 | − | 0.0766233i | ||||
\(797\) | 297.816 | − | 171.944i | 0.373672 | − | 0.215739i | −0.301390 | − | 0.953501i | \(-0.597450\pi\) |
0.675061 | + | 0.737762i | \(0.264117\pi\) | |||||||
\(798\) | 245.698 | + | 346.351i | 0.307893 | + | 0.434023i | ||||
\(799\) | −12.9054 | − | 7.45091i | −0.0161519 | − | 0.00932530i | ||||
\(800\) | 799.050 | − | 38.7242i | 0.998813 | − | 0.0484053i | ||||
\(801\) | −268.516 | + | 274.136i | −0.335226 | + | 0.342242i | ||||
\(802\) | 359.587 | − | 1144.29i | 0.448363 | − | 1.42679i | ||||
\(803\) | 75.9790 | − | 131.600i | 0.0946189 | − | 0.163885i | ||||
\(804\) | 549.325 | − | 608.088i | 0.683240 | − | 0.756328i | ||||
\(805\) | −3.53150 | + | 2.03891i | −0.00438696 | + | 0.00253281i | ||||
\(806\) | −690.982 | + | 153.882i | −0.857297 | + | 0.190920i | ||||
\(807\) | −130.725 | − | 311.032i | −0.161988 | − | 0.385418i | ||||
\(808\) | 851.089 | − | 114.538i | 1.05333 | − | 0.141755i | ||||
\(809\) | 273.136 | 0.337622 | 0.168811 | − | 0.985648i | \(-0.446007\pi\) | ||||
0.168811 | + | 0.985648i | \(0.446007\pi\) | |||||||
\(810\) | 0.869384 | − | 2.98109i | 0.00107331 | − | 0.00368036i | ||||
\(811\) | 615.310 | 0.758705 | 0.379352 | − | 0.925252i | \(-0.376147\pi\) | ||||
0.379352 | + | 0.925252i | \(0.376147\pi\) | |||||||
\(812\) | −629.311 | + | 294.923i | −0.775014 | + | 0.363205i | ||||
\(813\) | 581.518 | + | 1383.60i | 0.715274 | + | 1.70185i | ||||
\(814\) | 132.367 | + | 594.371i | 0.162613 | + | 0.730186i | ||||
\(815\) | 0.599283 | − | 0.345996i | 0.000735317 | − | 0.000424535i | ||||
\(816\) | 17.6223 | − | 4.07372i | 0.0215960 | − | 0.00499230i | ||||
\(817\) | 346.971 | − | 600.971i | 0.424689 | − | 0.735583i | ||||
\(818\) | −328.782 | + | 1046.26i | −0.401935 | + | 1.27905i | ||||
\(819\) | 344.039 | − | 351.240i | 0.420073 | − | 0.428864i | ||||
\(820\) | −2.54543 | + | 3.65012i | −0.00310418 | + | 0.00445137i | ||||
\(821\) | 1110.25 | + | 641.002i | 1.35231 | + | 0.780757i | 0.988573 | − | 0.150744i | \(-0.0481668\pi\) |
0.363739 | + | 0.931501i | \(0.381500\pi\) | |||||||
\(822\) | 550.002 | − | 390.167i | 0.669102 | − | 0.474656i | ||||
\(823\) | −241.117 | + | 139.209i | −0.292973 | + | 0.169148i | −0.639282 | − | 0.768972i | \(-0.720768\pi\) |
0.346309 | + | 0.938121i | \(0.387435\pi\) | |||||||
\(824\) | −154.710 | + | 376.562i | −0.187755 | + | 0.456993i | ||||
\(825\) | 340.431 | + | 258.433i | 0.412644 | + | 0.313252i | ||||
\(826\) | 407.785 | − | 374.386i | 0.493687 | − | 0.453252i | ||||
\(827\) | 88.6450 | 0.107189 | 0.0535943 | − | 0.998563i | \(-0.482932\pi\) | ||||
0.0535943 | + | 0.998563i | \(0.482932\pi\) | |||||||
\(828\) | 1537.26 | + | 538.247i | 1.85660 | + | 0.650057i | ||||
\(829\) | 673.447i | 0.812361i | 0.913793 | + | 0.406180i | \(0.133140\pi\) | ||||
−0.913793 | + | 0.406180i | \(0.866860\pi\) | |||||||
\(830\) | 2.31529 | − | 2.12566i | 0.00278950 | − | 0.00256103i | ||||
\(831\) | 765.126 | + | 96.7031i | 0.920729 | + | 0.116370i | ||||
\(832\) | 196.575 | + | 717.110i | 0.236268 | + | 0.861911i | ||||
\(833\) | 5.06642 | + | 8.77529i | 0.00608213 | + | 0.0105346i | ||||
\(834\) | 62.8851 | + | 671.310i | 0.0754018 | + | 0.804928i | ||||
\(835\) | 0.994591 | − | 1.72268i | 0.00119113 | − | 0.00206309i | ||||
\(836\) | −281.443 | − | 196.265i | −0.336654 | − | 0.234767i | ||||
\(837\) | −120.021 | − | 813.766i | −0.143395 | − | 0.972241i | ||||
\(838\) | 161.245 | − | 513.118i | 0.192416 | − | 0.612313i | ||||
\(839\) | 29.6126 | + | 17.0968i | 0.0352951 | + | 0.0203776i | 0.517544 | − | 0.855657i | \(-0.326846\pi\) |
−0.482249 | + | 0.876034i | \(0.660180\pi\) | |||||||
\(840\) | 1.06644 | − | 1.88197i | 0.00126958 | − | 0.00224045i | ||||
\(841\) | 262.209 | + | 454.160i | 0.311783 | + | 0.540024i | ||||
\(842\) | −118.222 | − | 530.855i | −0.140406 | − | 0.630469i | ||||
\(843\) | 104.748 | − | 828.776i | 0.124256 | − | 0.983127i | ||||
\(844\) | 690.413 | − | 323.557i | 0.818025 | − | 0.383362i | ||||
\(845\) | 0.652059i | 0.000771667i | ||||||||
\(846\) | 604.653 | + | 375.657i | 0.714720 | + | 0.444039i | ||||
\(847\) | − | 416.236i | − | 0.491424i | ||||||
\(848\) | 2.69043 | − | 15.6078i | 0.00317267 | − | 0.0184054i | ||||
\(849\) | 448.988 | + | 340.842i | 0.528844 | + | 0.401463i | ||||
\(850\) | 18.3899 | − | 4.09544i | 0.0216352 | − | 0.00481816i | ||||
\(851\) | 1208.58 | + | 2093.32i | 1.42018 | + | 2.45983i | ||||
\(852\) | −483.657 | + | 156.277i | −0.567673 | + | 0.183424i | ||||
\(853\) | −1052.33 | − | 607.564i | −1.23368 | − | 0.712267i | −0.265887 | − | 0.964004i | \(-0.585665\pi\) |
−0.967796 | + | 0.251737i | \(0.918998\pi\) | |||||||
\(854\) | 244.497 | − | 778.046i | 0.286297 | − | 0.911061i | ||||
\(855\) | −0.646063 | + | 2.51503i | −0.000755629 | + | 0.00294156i | ||||
\(856\) | 314.855 | − | 243.038i | 0.367821 | − | 0.283923i | ||||
\(857\) | 462.160 | − | 800.484i | 0.539276 | − | 0.934054i | −0.459667 | − | 0.888091i | \(-0.652031\pi\) |
0.998943 | − | 0.0459627i | \(-0.0146355\pi\) | |||||||
\(858\) | −165.680 | + | 361.069i | −0.193100 | + | 0.420826i | ||||
\(859\) | −625.687 | − | 1083.72i | −0.728390 | − | 1.26161i | −0.957563 | − | 0.288223i | \(-0.906936\pi\) |
0.229174 | − | 0.973386i | \(-0.426398\pi\) | |||||||
\(860\) | −3.52202 | − | 0.301336i | −0.00409538 | − | 0.000350391i | ||||
\(861\) | −317.214 | − | 754.745i | −0.368425 | − | 0.876591i | ||||
\(862\) | 207.611 | − | 190.607i | 0.240848 | − | 0.221122i | ||||
\(863\) | 291.210i | 0.337439i | 0.985664 | + | 0.168719i | \(0.0539632\pi\) | ||||
−0.985664 | + | 0.168719i | \(0.946037\pi\) | |||||||
\(864\) | −847.649 | + | 167.294i | −0.981075 | + | 0.193627i | ||||
\(865\) | 1.18632 | 0.00137147 | ||||||||
\(866\) | 878.028 | + | 956.358i | 1.01389 | + | 1.10434i | ||||
\(867\) | −798.882 | + | 335.764i | −0.921433 | + | 0.387272i | ||||
\(868\) | 48.8461 | − | 570.914i | 0.0562743 | − | 0.657736i | ||||
\(869\) | −690.755 | + | 398.808i | −0.794885 | + | 0.458927i | ||||
\(870\) | −3.86258 | − | 1.77238i | −0.00443975 | − | 0.00203722i | ||||
\(871\) | 687.101 | + | 396.698i | 0.788864 | + | 0.455451i | ||||
\(872\) | 197.180 | + | 255.446i | 0.226124 | + | 0.292943i | ||||
\(873\) | −270.609 | − | 969.648i | −0.309976 | − | 1.11071i | ||||
\(874\) | −1299.36 | − | 408.318i | −1.48668 | − | 0.467183i | ||||
\(875\) | 2.25324 | − | 3.90273i | 0.00257514 | − | 0.00446027i | ||||
\(876\) | 98.3803 | + | 304.473i | 0.112306 | + | 0.347572i | ||||
\(877\) | 623.417 | − | 359.930i | 0.710851 | − | 0.410410i | −0.100525 | − | 0.994935i | \(-0.532052\pi\) |
0.811376 | + | 0.584524i | \(0.198719\pi\) | |||||||
\(878\) | −68.1284 | − | 305.920i | −0.0775950 | − | 0.348428i | ||||
\(879\) | 927.860 | − | 1222.26i | 1.05559 | − | 1.39052i | ||||
\(880\) | −0.296905 | + | 1.72242i | −0.000337393 | + | 0.00195729i | ||||
\(881\) | 136.645 | 0.155102 | 0.0775512 | − | 0.996988i | \(-0.475290\pi\) | ||||
0.0775512 | + | 0.996988i | \(0.475290\pi\) | |||||||
\(882\) | −228.346 | − | 426.788i | −0.258895 | − | 0.483887i | ||||
\(883\) | −795.629 | −0.901052 | −0.450526 | − | 0.892763i | \(-0.648764\pi\) | ||||
−0.450526 | + | 0.892763i | \(0.648764\pi\) | |||||||
\(884\) | 7.43112 | + | 15.8567i | 0.00840625 | + | 0.0179374i | ||||
\(885\) | 3.35839 | + | 0.424462i | 0.00379479 | + | 0.000479618i | ||||
\(886\) | 27.0222 | − | 6.01785i | 0.0304991 | − | 0.00679215i | ||||
\(887\) | 92.9513 | − | 53.6654i | 0.104793 | − | 0.0605022i | −0.446688 | − | 0.894690i | \(-0.647396\pi\) |
0.551480 | + | 0.834188i | \(0.314063\pi\) | |||||||
\(888\) | −1115.55 | − | 632.141i | −1.25625 | − | 0.711870i | ||||
\(889\) | −89.8877 | + | 155.690i | −0.101111 | + | 0.175129i | ||||
\(890\) | −1.55938 | − | 0.490029i | −0.00175212 | − | 0.000550594i | ||||
\(891\) | −404.462 | − | 222.477i | −0.453941 | − | 0.249694i | ||||
\(892\) | −497.852 | + | 713.915i | −0.558130 | + | 0.800353i | ||||
\(893\) | −515.508 | − | 297.629i | −0.577277 | − | 0.333291i | ||||
\(894\) | 1.33701 | − | 0.125244i | 0.00149553 | − | 0.000140094i | ||||
\(895\) | −3.91712 | + | 2.26155i | −0.00437667 | + | 0.00252687i | ||||
\(896\) | −601.451 | − | 22.2186i | −0.671262 | − | 0.0247975i | ||||
\(897\) | −197.735 | + | 1564.50i | −0.220440 | + | 1.74415i | ||||
\(898\) | −922.892 | − | 1005.22i | −1.02772 | − | 1.11940i | ||||
\(899\) | −1125.75 | −1.25222 | ||||||||
\(900\) | −884.329 | + | 167.146i | −0.982588 | + | 0.185718i | ||||
\(901\) | − | 0.372998i | − | 0.000413982i | ||||||
\(902\) | 447.378 | + | 487.289i | 0.495984 | + | 0.540232i | ||||
\(903\) | 393.223 | − | 517.990i | 0.435463 | − | 0.573632i | ||||
\(904\) | 191.523 | + | 78.6872i | 0.211862 | + | 0.0870434i | ||||
\(905\) | −2.62988 | − | 4.55508i | −0.00290594 | − | 0.00503324i | ||||
\(906\) | −428.399 | − | 603.896i | −0.472847 | − | 0.666552i | ||||
\(907\) | 686.970 | − | 1189.87i | 0.757409 | − | 1.31187i | −0.186759 | − | 0.982406i | \(-0.559798\pi\) |
0.944168 | − | 0.329465i | \(-0.106868\pi\) | |||||||
\(908\) | 450.068 | + | 313.857i | 0.495670 | + | 0.345658i | ||||
\(909\) | −930.548 | + | 259.697i | −1.02371 | + | 0.285695i | ||||
\(910\) | 1.99798 | + | 0.627856i | 0.00219558 | + | 0.000689951i | ||||
\(911\) | 166.832 | + | 96.3207i | 0.183131 | + | 0.105731i | 0.588763 | − | 0.808306i | \(-0.299615\pi\) |
−0.405632 | + | 0.914037i | \(0.632949\pi\) | |||||||
\(912\) | 703.929 | − | 162.726i | 0.771852 | − | 0.178427i | ||||
\(913\) | −233.616 | − | 404.634i | −0.255877 | − | 0.443192i | ||||
\(914\) | −550.042 | + | 122.495i | −0.601796 | + | 0.134020i | ||||
\(915\) | 4.59750 | − | 1.93230i | 0.00502460 | − | 0.00211180i | ||||
\(916\) | −435.417 | − | 929.102i | −0.475346 | − | 1.01430i | ||||
\(917\) | 582.131i | 0.634821i | ||||||||
\(918\) | −19.0034 | + | 7.27378i | −0.0207009 | + | 0.00792351i | ||||
\(919\) | − | 818.741i | − | 0.890905i | −0.895306 | − | 0.445452i | \(-0.853043\pi\) | ||
0.895306 | − | 0.445452i | \(-0.146957\pi\) | |||||||
\(920\) | 0.925359 | + | 6.87598i | 0.00100582 | + | 0.00747389i | ||||
\(921\) | −541.750 | + | 227.694i | −0.588220 | + | 0.247225i | ||||
\(922\) | −279.381 | − | 1254.51i | −0.303016 | − | 1.36064i | ||||
\(923\) | −246.053 | − | 426.177i | −0.266580 | − | 0.461730i | ||||
\(924\) | −238.613 | − | 215.554i | −0.258239 | − | 0.233283i | ||||
\(925\) | −1156.67 | − | 667.807i | −1.25046 | − | 0.721953i | ||||
\(926\) | 1164.09 | + | 365.809i | 1.25711 | + | 0.395042i | ||||
\(927\) | 113.950 | − | 443.591i | 0.122923 | − | 0.478524i | ||||
\(928\) | 57.2377 | + | 1181.06i | 0.0616786 | + | 1.27270i | ||||
\(929\) | −657.748 | + | 1139.25i | −0.708017 | + | 1.22632i | 0.257575 | + | 0.966258i | \(0.417077\pi\) |
−0.965592 | + | 0.260063i | \(0.916257\pi\) | |||||||
\(930\) | 2.85780 | − | 2.02730i | 0.00307290 | − | 0.00217989i | ||||
\(931\) | 202.380 | + | 350.532i | 0.217379 | + | 0.376511i | ||||
\(932\) | −104.164 | + | 1217.47i | −0.111764 | + | 1.30630i | ||||
\(933\) | −828.380 | + | 1091.22i | −0.887867 | + | 1.16958i | ||||
\(934\) | 391.251 | + | 426.155i | 0.418898 | + | 0.456268i | ||||
\(935\) | 0.0411627i | 4.40242e-5i | ||||||||
\(936\) | −330.316 | − | 768.532i | −0.352901 | − | 0.821081i | ||||
\(937\) | −521.572 | −0.556640 | −0.278320 | − | 0.960488i | \(-0.589778\pi\) | ||||
−0.278320 | + | 0.960488i | \(0.589778\pi\) | |||||||
\(938\) | −473.060 | + | 434.314i | −0.504328 | + | 0.463022i | ||||
\(939\) | −139.420 | + | 1103.11i | −0.148477 | + | 1.17477i | ||||
\(940\) | −0.258484 | + | 3.02116i | −0.000274983 | + | 0.00321401i | ||||
\(941\) | 340.545 | − | 196.614i | 0.361896 | − | 0.208941i | −0.308016 | − | 0.951381i | \(-0.599665\pi\) |
0.669912 | + | 0.742440i | \(0.266332\pi\) | |||||||
\(942\) | −1168.93 | + | 109.500i | −1.24090 | + | 0.116242i | ||||
\(943\) | 2274.07 | + | 1312.93i | 2.41153 | + | 1.39229i | ||||
\(944\) | −325.525 | − | 883.817i | −0.344836 | − | 0.936247i | ||||
\(945\) | −0.896234 | + | 2.26247i | −0.000948395 | + | 0.00239415i | ||||
\(946\) | −157.533 | + | 501.306i | −0.166526 | + | 0.529922i | ||||
\(947\) | 437.860 | − | 758.396i | 0.462366 | − | 0.800841i | −0.536713 | − | 0.843765i | \(-0.680334\pi\) |
0.999078 | + | 0.0429244i | \(0.0136675\pi\) | |||||||
\(948\) | 351.871 | − | 1642.24i | 0.371172 | − | 1.73232i | ||||
\(949\) | −268.288 | + | 154.896i | −0.282706 | + | 0.163220i | ||||
\(950\) | 734.590 | − | 163.593i | 0.773252 | − | 0.172204i | ||||
\(951\) | 1496.34 | + | 189.120i | 1.57344 | + | 0.198865i | ||||
\(952\) | −14.0477 | + | 1.89052i | −0.0147560 | + | 0.00198584i | ||||
\(953\) | 71.0166 | 0.0745190 | 0.0372595 | − | 0.999306i | \(-0.488137\pi\) | ||||
0.0372595 | + | 0.999306i | \(0.488137\pi\) | |||||||
\(954\) | −0.575755 | + | 17.8084i | −0.000603516 | + | 0.0186671i | ||||
\(955\) | −1.66803 | −0.00174663 | ||||||||
\(956\) | −134.196 | − | 286.349i | −0.140372 | − | 0.299529i | ||||
\(957\) | −381.985 | + | 503.186i | −0.399149 | + | 0.525795i | ||||
\(958\) | 57.7650 | + | 259.384i | 0.0602974 | + | 0.270756i | ||||
\(959\) | −457.661 | + | 264.231i | −0.477227 | + | 0.275527i | ||||
\(960\) | −2.27221 | − | 2.89514i | −0.00236689 | − | 0.00301577i | ||||
\(961\) | −16.4259 | + | 28.4504i | −0.0170925 | + | 0.0296050i | ||||
\(962\) | 372.165 | − | 1184.31i | 0.386866 | − | 1.23109i | ||||
\(963\) | −313.111 | + | 319.664i | −0.325141 | + | 0.331946i | ||||
\(964\) | 731.028 | + | 509.786i | 0.758327 | + | 0.528823i | ||||
\(965\) | 1.72022 | + | 0.993171i | 0.00178261 | + | 0.00102919i | ||||
\(966\) | −1160.12 | − | 532.331i | −1.20095 | − | 0.551067i | ||||
\(967\) | 194.113 | − | 112.071i | 0.200737 | − | 0.115896i | −0.396262 | − | 0.918137i | \(-0.629693\pi\) |
0.596999 | + | 0.802242i | \(0.296359\pi\) | |||||||
\(968\) | −655.049 | − | 269.126i | −0.676704 | − | 0.278023i | ||||
\(969\) | 15.6862 | − | 6.59279i | 0.0161880 | − | 0.00680370i | ||||
\(970\) | 3.15880 | − | 2.90008i | 0.00325650 | − | 0.00298978i | ||||
\(971\) | 91.8845 | 0.0946287 | 0.0473144 | − | 0.998880i | \(-0.484934\pi\) | ||||
0.0473144 | + | 0.998880i | \(0.484934\pi\) | |||||||
\(972\) | 918.528 | − | 317.946i | 0.944988 | − | 0.327105i | ||||
\(973\) | − | 528.390i | − | 0.543053i | ||||||
\(974\) | 1179.91 | − | 1083.27i | 1.21140 | − | 1.11218i | ||||
\(975\) | −337.616 | − | 803.287i | −0.346273 | − | 0.823884i | ||||
\(976\) | −1066.36 | − | 887.839i | −1.09258 | − | 0.909671i | ||||
\(977\) | 368.517 | + | 638.289i | 0.377192 | + | 0.653316i | 0.990653 | − | 0.136410i | \(-0.0435564\pi\) |
−0.613461 | + | 0.789725i | \(0.710223\pi\) | |||||||
\(978\) | 196.868 | + | 90.3347i | 0.201297 | + | 0.0923668i | ||||
\(979\) | −121.492 | + | 210.431i | −0.124098 | + | 0.214945i | ||||
\(980\) | 1.17937 | − | 1.69120i | 0.00120344 | − | 0.00172572i | ||||
\(981\) | −259.348 | − | 254.031i | −0.264371 | − | 0.258951i | ||||
\(982\) | 500.022 | − | 1591.18i | 0.509188 | − | 1.62035i | ||||
\(983\) | −1534.66 | − | 886.034i | −1.56120 | − | 0.901357i | −0.997136 | − | 0.0756241i | \(-0.975905\pi\) |
−0.564061 | − | 0.825733i | \(-0.690762\pi\) | |||||||
\(984\) | −1392.88 | + | 11.2169i | −1.41553 | + | 0.0113993i | ||||
\(985\) | 1.91835 | + | 3.32267i | 0.00194756 | + | 0.00337327i | ||||
\(986\) | 6.05340 | + | 27.1818i | 0.00613935 | + | 0.0275678i | ||||
\(987\) | −444.327 | − | 337.304i | −0.450180 | − | 0.341746i | ||||
\(988\) | 296.838 | + | 633.399i | 0.300444 | + | 0.641093i | ||||
\(989\) | 2085.87i | 2.10907i | ||||||||
\(990\) | 0.0635381 | − | 1.96527i | 6.41799e−5 | − | 0.00198512i | ||||
\(991\) | 1115.19i | 1.12532i | 0.826689 | + | 0.562659i | \(0.190221\pi\) | ||||
−0.826689 | + | 0.562659i | \(0.809779\pi\) | |||||||
\(992\) | −866.891 | − | 446.009i | −0.873882 | − | 0.449605i | ||||
\(993\) | −141.298 | + | 1117.97i | −0.142294 | + | 1.12585i | ||||
\(994\) | 388.799 | − | 86.5857i | 0.391146 | − | 0.0871084i | ||||
\(995\) | 1.71433 | + | 2.96930i | 0.00172294 | + | 0.00298423i | ||||
\(996\) | 961.999 | + | 206.121i | 0.965863 | + | 0.206949i | ||||
\(997\) | 193.012 | + | 111.435i | 0.193593 | + | 0.111771i | 0.593663 | − | 0.804714i | \(-0.297681\pi\) |
−0.400071 | + | 0.916484i | \(0.631014\pi\) | |||||||
\(998\) | 75.5153 | − | 240.307i | 0.0756666 | − | 0.240788i | ||||
\(999\) | 1341.09 | + | 531.247i | 1.34244 | + | 0.531779i |
(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 | 72.3.p.b.43.15 | yes | 40 | |
3.2 | odd | 2 | 216.3.p.b.19.6 | 40 | |||
4.3 | odd | 2 | 288.3.t.b.79.2 | 40 | |||
8.3 | odd | 2 | inner | 72.3.p.b.43.2 | ✓ | 40 | |
8.5 | even | 2 | 288.3.t.b.79.1 | 40 | |||
9.2 | odd | 6 | 648.3.b.e.163.10 | 20 | |||
9.4 | even | 3 | inner | 72.3.p.b.67.2 | yes | 40 | |
9.5 | odd | 6 | 216.3.p.b.91.19 | 40 | |||
9.7 | even | 3 | 648.3.b.f.163.11 | 20 | |||
12.11 | even | 2 | 864.3.t.b.559.10 | 40 | |||
24.5 | odd | 2 | 864.3.t.b.559.11 | 40 | |||
24.11 | even | 2 | 216.3.p.b.19.19 | 40 | |||
36.7 | odd | 6 | 2592.3.b.e.1135.11 | 20 | |||
36.11 | even | 6 | 2592.3.b.f.1135.10 | 20 | |||
36.23 | even | 6 | 864.3.t.b.847.11 | 40 | |||
36.31 | odd | 6 | 288.3.t.b.175.1 | 40 | |||
72.5 | odd | 6 | 864.3.t.b.847.10 | 40 | |||
72.11 | even | 6 | 648.3.b.e.163.9 | 20 | |||
72.13 | even | 6 | 288.3.t.b.175.2 | 40 | |||
72.29 | odd | 6 | 2592.3.b.f.1135.11 | 20 | |||
72.43 | odd | 6 | 648.3.b.f.163.12 | 20 | |||
72.59 | even | 6 | 216.3.p.b.91.6 | 40 | |||
72.61 | even | 6 | 2592.3.b.e.1135.10 | 20 | |||
72.67 | odd | 6 | inner | 72.3.p.b.67.15 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.3.p.b.43.2 | ✓ | 40 | 8.3 | odd | 2 | inner | |
72.3.p.b.43.15 | yes | 40 | 1.1 | even | 1 | trivial | |
72.3.p.b.67.2 | yes | 40 | 9.4 | even | 3 | inner | |
72.3.p.b.67.15 | yes | 40 | 72.67 | odd | 6 | inner | |
216.3.p.b.19.6 | 40 | 3.2 | odd | 2 | |||
216.3.p.b.19.19 | 40 | 24.11 | even | 2 | |||
216.3.p.b.91.6 | 40 | 72.59 | even | 6 | |||
216.3.p.b.91.19 | 40 | 9.5 | odd | 6 | |||
288.3.t.b.79.1 | 40 | 8.5 | even | 2 | |||
288.3.t.b.79.2 | 40 | 4.3 | odd | 2 | |||
288.3.t.b.175.1 | 40 | 36.31 | odd | 6 | |||
288.3.t.b.175.2 | 40 | 72.13 | even | 6 | |||
648.3.b.e.163.9 | 20 | 72.11 | even | 6 | |||
648.3.b.e.163.10 | 20 | 9.2 | odd | 6 | |||
648.3.b.f.163.11 | 20 | 9.7 | even | 3 | |||
648.3.b.f.163.12 | 20 | 72.43 | odd | 6 | |||
864.3.t.b.559.10 | 40 | 12.11 | even | 2 | |||
864.3.t.b.559.11 | 40 | 24.5 | odd | 2 | |||
864.3.t.b.847.10 | 40 | 72.5 | odd | 6 | |||
864.3.t.b.847.11 | 40 | 36.23 | even | 6 | |||
2592.3.b.e.1135.10 | 20 | 72.61 | even | 6 | |||
2592.3.b.e.1135.11 | 20 | 36.7 | odd | 6 | |||
2592.3.b.f.1135.10 | 20 | 36.11 | even | 6 | |||
2592.3.b.f.1135.11 | 20 | 72.29 | odd | 6 |