Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,4,Mod(5,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.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: | \(1.23904011012\) |
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: | \( x^{12} - x^{11} - 29x^{9} + 6x^{8} - 49x^{7} + 1564x^{6} - 441x^{5} + 486x^{4} - 21141x^{3} - 59049x + 531441 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.5 | ||
Root | \(-2.59957 + 1.49740i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.17 |
Dual form | 21.4.g.a.5.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.24076 | − | 1.29370i | 0.792229 | − | 0.457393i | −0.0485179 | − | 0.998822i | \(-0.515450\pi\) |
0.840747 | + | 0.541429i | \(0.182116\pi\) | |||||||
\(3\) | 2.59358 | + | 4.50260i | 0.499134 | + | 0.866525i | ||||
\(4\) | −0.652660 | + | 1.13044i | −0.0815825 | + | 0.141305i | ||||
\(5\) | −8.05907 | − | 13.9587i | −0.720825 | − | 1.24851i | −0.960670 | − | 0.277694i | \(-0.910430\pi\) |
0.239845 | − | 0.970811i | \(-0.422903\pi\) | |||||||
\(6\) | 11.6366 | + | 6.73392i | 0.791771 | + | 0.458185i | ||||
\(7\) | −5.67909 | − | 17.6280i | −0.306642 | − | 0.951825i | ||||
\(8\) | 24.0767i | 1.06405i | ||||||||
\(9\) | −13.5467 | + | 23.3556i | −0.501731 | + | 0.865024i | ||||
\(10\) | −36.1169 | − | 20.8521i | −1.14212 | − | 0.659401i | ||||
\(11\) | 30.8296 | + | 17.7995i | 0.845043 | + | 0.487886i | 0.858975 | − | 0.512017i | \(-0.171102\pi\) |
−0.0139322 | + | 0.999903i | \(0.504435\pi\) | |||||||
\(12\) | −6.78264 | − | 0.00678109i | −0.163165 | − | 0.000163128i | ||||
\(13\) | − | 7.40831i | − | 0.158054i | −0.996872 | − | 0.0790268i | \(-0.974819\pi\) | ||
0.996872 | − | 0.0790268i | \(-0.0251813\pi\) | |||||||
\(14\) | −35.5309 | − | 32.1532i | −0.678289 | − | 0.613807i | ||||
\(15\) | 41.9486 | − | 72.4897i | 0.722073 | − | 1.24778i | ||||
\(16\) | 25.9268 | + | 44.9065i | 0.405106 | + | 0.701664i | ||||
\(17\) | −14.4601 | + | 25.0457i | −0.206300 | + | 0.357322i | −0.950546 | − | 0.310584i | \(-0.899476\pi\) |
0.744246 | + | 0.667905i | \(0.232809\pi\) | |||||||
\(18\) | −0.139688 | + | 69.8599i | −0.00182915 | + | 0.914785i | ||||
\(19\) | 30.4580 | − | 17.5849i | 0.367765 | − | 0.212329i | −0.304716 | − | 0.952443i | \(-0.598562\pi\) |
0.672482 | + | 0.740114i | \(0.265228\pi\) | |||||||
\(20\) | 21.0393 | 0.235227 | ||||||||
\(21\) | 64.6428 | − | 71.2903i | 0.671725 | − | 0.740801i | ||||
\(22\) | 92.1090 | 0.892623 | ||||||||
\(23\) | 48.0017 | − | 27.7138i | 0.435175 | − | 0.251249i | −0.266374 | − | 0.963870i | \(-0.585825\pi\) |
0.701549 | + | 0.712621i | \(0.252492\pi\) | |||||||
\(24\) | −108.407 | + | 62.4446i | −0.922024 | + | 0.531102i | ||||
\(25\) | −67.3971 | + | 116.735i | −0.539177 | + | 0.933881i | ||||
\(26\) | −9.58416 | − | 16.6003i | −0.0722927 | − | 0.125215i | ||||
\(27\) | −140.295 | − | 0.420792i | −0.999996 | − | 0.00299931i | ||||
\(28\) | 23.6340 | + | 5.08525i | 0.159514 | + | 0.0343222i | ||||
\(29\) | − | 68.1510i | − | 0.436390i | −0.975905 | − | 0.218195i | \(-0.929983\pi\) | ||
0.975905 | − | 0.218195i | \(-0.0700169\pi\) | |||||||
\(30\) | 0.216652 | − | 216.701i | 0.00131850 | − | 1.31880i | ||||
\(31\) | −154.734 | − | 89.3356i | −0.896484 | − | 0.517585i | −0.0204262 | − | 0.999791i | \(-0.506502\pi\) |
−0.876058 | + | 0.482206i | \(0.839836\pi\) | |||||||
\(32\) | −50.6165 | − | 29.2234i | −0.279619 | − | 0.161438i | ||||
\(33\) | −0.184935 | + | 184.977i | −0.000975549 | + | 0.975771i | ||||
\(34\) | 74.8285i | 0.377440i | ||||||||
\(35\) | −200.297 | + | 221.338i | −0.967323 | + | 1.06894i | ||||
\(36\) | −17.5608 | − | 30.5571i | −0.0812998 | − | 0.141468i | ||||
\(37\) | 116.838 | + | 202.370i | 0.519137 | + | 0.899172i | 0.999753 | + | 0.0222405i | \(0.00707996\pi\) |
−0.480615 | + | 0.876931i | \(0.659587\pi\) | |||||||
\(38\) | 45.4994 | − | 78.8072i | 0.194236 | − | 0.336427i | ||||
\(39\) | 33.3566 | − | 19.2140i | 0.136957 | − | 0.0788899i | ||||
\(40\) | 336.079 | − | 194.035i | 1.32847 | − | 0.766992i | ||||
\(41\) | 370.068 | 1.40963 | 0.704816 | − | 0.709390i | \(-0.251030\pi\) | ||||
0.704816 | + | 0.709390i | \(0.251030\pi\) | |||||||
\(42\) | 52.6205 | − | 243.373i | 0.193322 | − | 0.894126i | ||||
\(43\) | −187.068 | −0.663432 | −0.331716 | − | 0.943379i | \(-0.607628\pi\) | ||||
−0.331716 | + | 0.943379i | \(0.607628\pi\) | |||||||
\(44\) | −40.2425 | + | 23.2340i | −0.137881 | + | 0.0796059i | ||||
\(45\) | 435.189 | + | 0.870180i | 1.44165 | + | 0.00288264i | ||||
\(46\) | 71.7068 | − | 124.200i | 0.229839 | − | 0.398093i | ||||
\(47\) | −87.3726 | − | 151.334i | −0.271162 | − | 0.469666i | 0.697998 | − | 0.716100i | \(-0.254075\pi\) |
−0.969160 | + | 0.246434i | \(0.920741\pi\) | |||||||
\(48\) | −134.953 | + | 233.206i | −0.405807 | + | 0.701259i | ||||
\(49\) | −278.496 | + | 200.222i | −0.811942 | + | 0.583739i | ||||
\(50\) | 348.768i | 0.986464i | ||||||||
\(51\) | −150.274 | − | 0.150240i | −0.412599 | − | 0.000412505i | ||||
\(52\) | 8.37465 | + | 4.83511i | 0.0223338 | + | 0.0128944i | ||||
\(53\) | −235.715 | − | 136.090i | −0.610905 | − | 0.352706i | 0.162415 | − | 0.986723i | \(-0.448072\pi\) |
−0.773319 | + | 0.634017i | \(0.781405\pi\) | |||||||
\(54\) | −314.913 | + | 180.558i | −0.793597 | + | 0.455015i | ||||
\(55\) | − | 573.789i | − | 1.40672i | ||||||
\(56\) | 424.424 | − | 136.733i | 1.01279 | − | 0.326282i | ||||
\(57\) | 158.173 | + | 91.5321i | 0.367553 | + | 0.212697i | ||||
\(58\) | −88.1672 | − | 152.710i | −0.199602 | − | 0.345721i | ||||
\(59\) | −48.4354 | + | 83.8926i | −0.106877 | + | 0.185117i | −0.914504 | − | 0.404578i | \(-0.867419\pi\) |
0.807626 | + | 0.589695i | \(0.200752\pi\) | |||||||
\(60\) | 54.5671 | + | 94.7315i | 0.117410 | + | 0.203830i | ||||
\(61\) | −333.882 | + | 192.767i | −0.700807 | + | 0.404611i | −0.807648 | − | 0.589665i | \(-0.799260\pi\) |
0.106841 | + | 0.994276i | \(0.465927\pi\) | |||||||
\(62\) | −462.295 | −0.946960 | ||||||||
\(63\) | 488.647 | + | 106.164i | 0.977203 | + | 0.212307i | ||||
\(64\) | −566.055 | −1.10558 | ||||||||
\(65\) | −103.411 | + | 59.7041i | −0.197331 | + | 0.113929i | ||||
\(66\) | 238.892 | + | 414.730i | 0.445538 | + | 0.773480i | ||||
\(67\) | 509.009 | − | 881.630i | 0.928140 | − | 1.60759i | 0.141708 | − | 0.989908i | \(-0.454741\pi\) |
0.786432 | − | 0.617677i | \(-0.211926\pi\) | |||||||
\(68\) | −18.8751 | − | 32.6926i | −0.0336609 | − | 0.0583023i | ||||
\(69\) | 249.280 | + | 144.254i | 0.434924 | + | 0.251684i | ||||
\(70\) | −162.471 | + | 755.091i | −0.277414 | + | 1.28929i | ||||
\(71\) | − | 125.333i | − | 0.209497i | −0.994499 | − | 0.104749i | \(-0.966596\pi\) | ||
0.994499 | − | 0.104749i | \(-0.0334038\pi\) | |||||||
\(72\) | −562.326 | − | 326.160i | −0.920427 | − | 0.533866i | ||||
\(73\) | 195.346 | + | 112.783i | 0.313199 | + | 0.180825i | 0.648357 | − | 0.761337i | \(-0.275456\pi\) |
−0.335158 | + | 0.942162i | \(0.608790\pi\) | |||||||
\(74\) | 523.613 | + | 302.308i | 0.822551 | + | 0.474900i | ||||
\(75\) | −700.411 | − | 0.700251i | −1.07835 | − | 0.00107811i | ||||
\(76\) | 45.9079i | 0.0692894i | ||||||||
\(77\) | 138.686 | − | 644.550i | 0.205256 | − | 0.953939i | ||||
\(78\) | 49.8870 | − | 86.2076i | 0.0724178 | − | 0.125142i | ||||
\(79\) | 532.154 | + | 921.718i | 0.757874 | + | 1.31268i | 0.943933 | + | 0.330138i | \(0.107095\pi\) |
−0.186059 | + | 0.982539i | \(0.559572\pi\) | |||||||
\(80\) | 417.891 | − | 723.809i | 0.584021 | − | 1.01155i | ||||
\(81\) | −361.972 | − | 632.785i | −0.496533 | − | 0.868018i | ||||
\(82\) | 829.234 | − | 478.758i | 1.11675 | − | 0.644756i | ||||
\(83\) | −601.040 | −0.794852 | −0.397426 | − | 0.917634i | \(-0.630096\pi\) | ||||
−0.397426 | + | 0.917634i | \(0.630096\pi\) | |||||||
\(84\) | 38.3996 | + | 119.603i | 0.0498779 | + | 0.155354i | ||||
\(85\) | 466.140 | 0.594824 | ||||||||
\(86\) | −419.175 | + | 242.011i | −0.525590 | + | 0.303450i | ||||
\(87\) | 306.856 | − | 176.755i | 0.378143 | − | 0.217817i | ||||
\(88\) | −428.552 | + | 742.274i | −0.519134 | + | 0.899166i | ||||
\(89\) | 752.606 | + | 1303.55i | 0.896360 | + | 1.55254i | 0.832112 | + | 0.554607i | \(0.187131\pi\) |
0.0642474 | + | 0.997934i | \(0.479535\pi\) | |||||||
\(90\) | 976.280 | − | 561.055i | 1.14343 | − | 0.657116i | ||||
\(91\) | −130.594 | + | 42.0725i | −0.150439 | + | 0.0484658i | ||||
\(92\) | 72.3506i | 0.0819900i | ||||||||
\(93\) | 0.928190 | − | 928.402i | 0.00103493 | − | 1.03517i | ||||
\(94\) | −391.562 | − | 226.069i | −0.429645 | − | 0.248055i | ||||
\(95\) | −490.926 | − | 283.436i | −0.530189 | − | 0.306105i | ||||
\(96\) | 0.303630 | − | 303.699i | 0.000322803 | − | 0.322876i | ||||
\(97\) | 327.463i | 0.342771i | 0.985204 | + | 0.171386i | \(0.0548244\pi\) | ||||
−0.985204 | + | 0.171386i | \(0.945176\pi\) | |||||||
\(98\) | −365.014 | + | 808.942i | −0.376245 | + | 0.833831i | ||||
\(99\) | −833.358 | + | 478.920i | −0.846017 | + | 0.486195i | ||||
\(100\) | −87.9747 | − | 152.377i | −0.0879747 | − | 0.152377i | ||||
\(101\) | −547.845 | + | 948.895i | −0.539729 | + | 0.934837i | 0.459190 | + | 0.888338i | \(0.348140\pi\) |
−0.998918 | + | 0.0464990i | \(0.985194\pi\) | |||||||
\(102\) | −336.922 | + | 194.073i | −0.327062 | + | 0.188393i | ||||
\(103\) | 179.848 | − | 103.835i | 0.172048 | − | 0.0993318i | −0.411503 | − | 0.911408i | \(-0.634996\pi\) |
0.583551 | + | 0.812076i | \(0.301663\pi\) | |||||||
\(104\) | 178.367 | 0.168177 | ||||||||
\(105\) | −1516.08 | − | 327.797i | −1.40909 | − | 0.304664i | ||||
\(106\) | −704.242 | −0.645302 | ||||||||
\(107\) | 1561.25 | − | 901.391i | 1.41058 | − | 0.814399i | 0.415138 | − | 0.909759i | \(-0.363733\pi\) |
0.995443 | + | 0.0953593i | \(0.0304000\pi\) | |||||||
\(108\) | 92.0409 | − | 158.321i | 0.0820059 | − | 0.141060i | ||||
\(109\) | −141.825 | + | 245.647i | −0.124627 | + | 0.215860i | −0.921587 | − | 0.388172i | \(-0.873107\pi\) |
0.796960 | + | 0.604032i | \(0.206440\pi\) | |||||||
\(110\) | −742.313 | − | 1285.72i | −0.643425 | − | 1.11444i | ||||
\(111\) | −608.160 | + | 1050.94i | −0.520036 | + | 0.898652i | ||||
\(112\) | 644.374 | − | 712.067i | 0.543639 | − | 0.600750i | ||||
\(113\) | − | 1037.39i | − | 0.863627i | −0.901963 | − | 0.431814i | \(-0.857874\pi\) | ||
0.901963 | − | 0.431814i | \(-0.142126\pi\) | |||||||
\(114\) | 472.843 | + | 0.472735i | 0.388472 | + | 0.000388383i | ||||
\(115\) | −773.697 | − | 446.694i | −0.627371 | − | 0.362213i | ||||
\(116\) | 77.0406 | + | 44.4794i | 0.0616641 | + | 0.0356018i | ||||
\(117\) | 173.026 | + | 100.358i | 0.136720 | + | 0.0793003i | ||||
\(118\) | 250.644i | 0.195540i | ||||||||
\(119\) | 523.626 | + | 112.667i | 0.403368 | + | 0.0867915i | ||||
\(120\) | 1745.31 | + | 1009.98i | 1.32770 | + | 0.768320i | ||||
\(121\) | −31.8573 | − | 55.1785i | −0.0239349 | − | 0.0414564i | ||||
\(122\) | −498.767 | + | 863.890i | −0.370133 | + | 0.641090i | ||||
\(123\) | 959.799 | + | 1666.27i | 0.703595 | + | 1.22148i | ||||
\(124\) | 201.977 | − | 116.611i | 0.146275 | − | 0.0844518i | ||||
\(125\) | 157.864 | 0.112958 | ||||||||
\(126\) | 1232.29 | − | 394.278i | 0.871276 | − | 0.278770i | ||||
\(127\) | 1645.81 | 1.14994 | 0.574968 | − | 0.818176i | \(-0.305015\pi\) | ||||
0.574968 | + | 0.818176i | \(0.305015\pi\) | |||||||
\(128\) | −863.461 | + | 498.520i | −0.596249 | + | 0.344245i | ||||
\(129\) | −485.175 | − | 842.291i | −0.331142 | − | 0.574881i | ||||
\(130\) | −154.479 | + | 267.565i | −0.104221 | + | 0.180516i | ||||
\(131\) | 314.185 | + | 544.184i | 0.209545 | + | 0.362943i | 0.951571 | − | 0.307428i | \(-0.0994683\pi\) |
−0.742026 | + | 0.670371i | \(0.766135\pi\) | |||||||
\(132\) | −208.985 | − | 120.936i | −0.137802 | − | 0.0797437i | ||||
\(133\) | −482.961 | − | 437.048i | −0.314873 | − | 0.284939i | ||||
\(134\) | − | 2634.03i | − | 1.69810i | ||||||
\(135\) | 1124.78 | + | 1961.74i | 0.717077 | + | 1.25066i | ||||
\(136\) | −603.016 | − | 348.151i | −0.380207 | − | 0.219513i | ||||
\(137\) | 432.079 | + | 249.461i | 0.269453 | + | 0.155569i | 0.628639 | − | 0.777697i | \(-0.283612\pi\) |
−0.359186 | + | 0.933266i | \(0.616946\pi\) | |||||||
\(138\) | 745.199 | + | 0.745029i | 0.459678 | + | 0.000459573i | ||||
\(139\) | − | 1216.65i | − | 0.742410i | −0.928551 | − | 0.371205i | \(-0.878945\pi\) | ||
0.928551 | − | 0.371205i | \(-0.121055\pi\) | |||||||
\(140\) | −119.484 | − | 370.882i | −0.0721303 | − | 0.223895i | ||||
\(141\) | 454.788 | − | 785.900i | 0.271631 | − | 0.469395i | ||||
\(142\) | −162.144 | − | 280.841i | −0.0958226 | − | 0.165970i | ||||
\(143\) | 131.864 | − | 228.395i | 0.0771121 | − | 0.133562i | ||||
\(144\) | −1400.04 | − | 2.79945i | −0.810211 | − | 0.00162005i | ||||
\(145\) | −951.300 | + | 549.233i | −0.544835 | + | 0.314561i | ||||
\(146\) | 583.631 | 0.330833 | ||||||||
\(147\) | −1623.82 | − | 734.663i | −0.911092 | − | 0.412204i | ||||
\(148\) | −305.022 | −0.169410 | ||||||||
\(149\) | −2010.18 | + | 1160.58i | −1.10524 | + | 0.638111i | −0.937592 | − | 0.347736i | \(-0.886950\pi\) |
−0.167648 | + | 0.985847i | \(0.553617\pi\) | |||||||
\(150\) | −1570.36 | + | 904.555i | −0.854795 | + | 0.492377i | ||||
\(151\) | −488.726 | + | 846.497i | −0.263390 | + | 0.456205i | −0.967141 | − | 0.254242i | \(-0.918174\pi\) |
0.703750 | + | 0.710447i | \(0.251507\pi\) | |||||||
\(152\) | 423.386 | + | 733.326i | 0.225929 | + | 0.391320i | ||||
\(153\) | −389.070 | − | 677.012i | −0.205585 | − | 0.357733i | ||||
\(154\) | −523.095 | − | 1623.70i | −0.273716 | − | 0.849621i | ||||
\(155\) | 2879.85i | 1.49235i | ||||||||
\(156\) | −0.0502364 | + | 50.2479i | −2.57829e−5 | + | 0.0257888i | ||||
\(157\) | −143.752 | − | 82.9950i | −0.0730740 | − | 0.0421893i | 0.463018 | − | 0.886349i | \(-0.346767\pi\) |
−0.536092 | + | 0.844160i | \(0.680100\pi\) | |||||||
\(158\) | 2384.86 | + | 1376.90i | 1.20082 | + | 0.693293i | ||||
\(159\) | 1.41397 | − | 1414.29i | 0.000705251 | − | 0.705412i | ||||
\(160\) | 942.055i | 0.465475i | ||||||||
\(161\) | −761.145 | − | 688.786i | −0.372588 | − | 0.337168i | ||||
\(162\) | −1629.73 | − | 949.635i | −0.790393 | − | 0.460558i | ||||
\(163\) | −488.511 | − | 846.127i | −0.234743 | − | 0.406587i | 0.724455 | − | 0.689322i | \(-0.242092\pi\) |
−0.959198 | + | 0.282735i | \(0.908758\pi\) | |||||||
\(164\) | −241.528 | + | 418.340i | −0.115001 | + | 0.199188i | ||||
\(165\) | 2583.54 | − | 1488.16i | 1.21896 | − | 0.702142i | ||||
\(166\) | −1346.79 | + | 777.568i | −0.629704 | + | 0.363560i | ||||
\(167\) | 1.00709 | 0.000466651 | 0.000233326 | − | 1.00000i | \(-0.499926\pi\) | ||||
0.000233326 | 1.00000i | \(0.499926\pi\) | ||||||||
\(168\) | 1716.43 | + | 1556.38i | 0.788248 | + | 0.714747i | ||||
\(169\) | 2142.12 | 0.975019 | ||||||||
\(170\) | 1044.51 | − | 603.048i | 0.471236 | − | 0.272068i | ||||
\(171\) | −1.89874 | + | 949.584i | −0.000849123 | + | 0.424658i | ||||
\(172\) | 122.092 | − | 211.469i | 0.0541245 | − | 0.0937463i | ||||
\(173\) | −1978.27 | − | 3426.47i | −0.869395 | − | 1.50584i | −0.862616 | − | 0.505860i | \(-0.831175\pi\) |
−0.00677983 | − | 0.999977i | \(-0.502158\pi\) | |||||||
\(174\) | 458.923 | − | 793.046i | 0.199948 | − | 0.345521i | ||||
\(175\) | 2440.57 | + | 525.130i | 1.05423 | + | 0.226835i | ||||
\(176\) | 1845.93i | 0.790582i | ||||||||
\(177\) | −503.356 | − | 0.503241i | −0.213754 | − | 0.000213706i | ||||
\(178\) | 3372.82 | + | 1947.30i | 1.42024 | + | 0.819978i | ||||
\(179\) | −2423.54 | − | 1399.23i | −1.01198 | − | 0.584266i | −0.100208 | − | 0.994967i | \(-0.531951\pi\) |
−0.911770 | + | 0.410701i | \(0.865284\pi\) | |||||||
\(180\) | −285.014 | + | 491.387i | −0.118020 | + | 0.203477i | ||||
\(181\) | 1506.74i | 0.618758i | 0.950939 | + | 0.309379i | \(0.100121\pi\) | ||||
−0.950939 | + | 0.309379i | \(0.899879\pi\) | |||||||
\(182\) | −238.201 | + | 263.224i | −0.0970144 | + | 0.107206i | ||||
\(183\) | −1733.90 | − | 1003.38i | −0.700403 | − | 0.405312i | ||||
\(184\) | 667.255 | + | 1155.72i | 0.267341 | + | 0.463048i | ||||
\(185\) | 1883.21 | − | 3261.82i | 0.748414 | − | 1.29629i | ||||
\(186\) | −1199.00 | − | 2081.53i | −0.472660 | − | 0.820565i | ||||
\(187\) | −891.599 | + | 514.765i | −0.348664 | + | 0.201301i | ||||
\(188\) | 228.098 | 0.0884882 | ||||||||
\(189\) | 789.332 | + | 2475.52i | 0.303786 | + | 0.952740i | ||||
\(190\) | −1466.73 | −0.560041 | ||||||||
\(191\) | 3184.51 | − | 1838.58i | 1.20640 | − | 0.696518i | 0.244433 | − | 0.969666i | \(-0.421398\pi\) |
0.961972 | + | 0.273148i | \(0.0880650\pi\) | |||||||
\(192\) | −1468.11 | − | 2548.71i | −0.551830 | − | 0.958009i | ||||
\(193\) | 64.7335 | − | 112.122i | 0.0241431 | − | 0.0418171i | −0.853701 | − | 0.520763i | \(-0.825648\pi\) |
0.877845 | + | 0.478946i | \(0.158981\pi\) | |||||||
\(194\) | 423.640 | + | 733.766i | 0.156781 | + | 0.271553i | ||||
\(195\) | −537.026 | − | 310.769i | −0.197217 | − | 0.114126i | ||||
\(196\) | −44.5763 | − | 445.500i | −0.0162450 | − | 0.162354i | ||||
\(197\) | 3044.81i | 1.10119i | 0.834774 | + | 0.550593i | \(0.185598\pi\) | ||||
−0.834774 | + | 0.550593i | \(0.814402\pi\) | |||||||
\(198\) | −1247.78 | + | 2151.27i | −0.447856 | + | 0.772140i | ||||
\(199\) | 3458.29 | + | 1996.64i | 1.23192 | + | 0.711248i | 0.967429 | − | 0.253141i | \(-0.0814637\pi\) |
0.264488 | + | 0.964389i | \(0.414797\pi\) | |||||||
\(200\) | −2810.59 | − | 1622.70i | −0.993695 | − | 0.573710i | ||||
\(201\) | 5289.78 | + | 5.28857i | 1.85628 | + | 0.00185586i | ||||
\(202\) | 2835.00i | 0.987473i | ||||||||
\(203\) | −1201.37 | + | 387.035i | −0.415367 | + | 0.133815i | ||||
\(204\) | 98.2476 | − | 169.778i | 0.0337191 | − | 0.0582687i | ||||
\(205\) | −2982.40 | − | 5165.67i | −1.01610 | − | 1.75993i | ||||
\(206\) | 268.664 | − | 465.339i | 0.0908674 | − | 0.157387i | ||||
\(207\) | −2.99240 | + | 1496.54i | −0.00100476 | + | 0.502496i | ||||
\(208\) | 332.682 | − | 192.074i | 0.110901 | − | 0.0640285i | ||||
\(209\) | 1252.01 | 0.414370 | ||||||||
\(210\) | −3821.25 | + | 1226.85i | −1.25567 | + | 0.403145i | ||||
\(211\) | −4383.67 | −1.43026 | −0.715129 | − | 0.698992i | \(-0.753632\pi\) | ||||
−0.715129 | + | 0.698992i | \(0.753632\pi\) | |||||||
\(212\) | 307.683 | − | 177.641i | 0.0996783 | − | 0.0575493i | ||||
\(213\) | 564.324 | − | 325.061i | 0.181534 | − | 0.104567i | ||||
\(214\) | 2332.27 | − | 4039.60i | 0.745002 | − | 1.29038i | ||||
\(215\) | 1507.59 | + | 2611.23i | 0.478219 | + | 0.828299i | ||||
\(216\) | 10.1313 | − | 3377.85i | 0.00319141 | − | 1.06404i | ||||
\(217\) | −696.065 | + | 3235.00i | −0.217751 | + | 1.01201i | ||||
\(218\) | 733.916i | 0.228014i | ||||||||
\(219\) | −1.17181 | + | 1172.07i | −0.000361568 | + | 0.361650i | ||||
\(220\) | 648.634 | + | 374.489i | 0.198777 | + | 0.114764i | ||||
\(221\) | 185.546 | + | 107.125i | 0.0564759 | + | 0.0326064i | ||||
\(222\) | −3.14096 | + | 3141.68i | −0.000949583 | + | 0.949799i | ||||
\(223\) | − | 4851.53i | − | 1.45687i | −0.685114 | − | 0.728436i | \(-0.740247\pi\) | ||
0.685114 | − | 0.728436i | \(-0.259753\pi\) | |||||||
\(224\) | −227.697 | + | 1058.23i | −0.0679180 | + | 0.315652i | ||||
\(225\) | −1813.42 | − | 3155.48i | −0.537308 | − | 0.934958i | ||||
\(226\) | −1342.08 | − | 2324.55i | −0.395017 | − | 0.684190i | ||||
\(227\) | −1184.05 | + | 2050.83i | −0.346203 | + | 0.599642i | −0.985572 | − | 0.169259i | \(-0.945863\pi\) |
0.639368 | + | 0.768901i | \(0.279196\pi\) | |||||||
\(228\) | −206.705 | + | 119.066i | −0.0600410 | + | 0.0345847i | ||||
\(229\) | −3737.27 | + | 2157.72i | −1.07845 | + | 0.622646i | −0.930479 | − | 0.366345i | \(-0.880609\pi\) |
−0.147975 | + | 0.988991i | \(0.547276\pi\) | |||||||
\(230\) | −2311.56 | −0.662695 | ||||||||
\(231\) | 3261.84 | − | 1047.24i | 0.929062 | − | 0.298284i | ||||
\(232\) | 1640.85 | 0.464340 | ||||||||
\(233\) | −4826.98 | + | 2786.86i | −1.35719 | + | 0.783576i | −0.989245 | − | 0.146270i | \(-0.953273\pi\) |
−0.367949 | + | 0.929846i | \(0.619940\pi\) | |||||||
\(234\) | 517.544 | + | 1.03485i | 0.144585 | + | 0.000289104i | ||||
\(235\) | −1408.28 | + | 2439.22i | −0.390920 | + | 0.677094i | ||||
\(236\) | −63.2237 | − | 109.507i | −0.0174386 | − | 0.0302046i | ||||
\(237\) | −2769.94 | + | 4786.62i | −0.759186 | + | 1.31192i | ||||
\(238\) | 1319.08 | − | 424.957i | 0.359257 | − | 0.115739i | ||||
\(239\) | − | 4683.70i | − | 1.26763i | −0.773485 | − | 0.633814i | \(-0.781488\pi\) | ||
0.773485 | − | 0.633814i | \(-0.218512\pi\) | |||||||
\(240\) | 4342.85 | + | 4.34186i | 1.16804 | + | 0.00116778i | ||||
\(241\) | −1896.77 | − | 1095.10i | −0.506977 | − | 0.292703i | 0.224613 | − | 0.974448i | \(-0.427888\pi\) |
−0.731590 | + | 0.681745i | \(0.761222\pi\) | |||||||
\(242\) | −142.769 | − | 82.4279i | −0.0379238 | − | 0.0218953i | ||||
\(243\) | 1910.37 | − | 3270.99i | 0.504323 | − | 0.863515i | ||||
\(244\) | − | 503.245i | − | 0.132037i | ||||||
\(245\) | 5039.26 | + | 2273.84i | 1.31407 | + | 0.592940i | ||||
\(246\) | 4306.34 | + | 2492.01i | 1.11611 | + | 0.645872i | ||||
\(247\) | −130.275 | − | 225.642i | −0.0335594 | − | 0.0581266i | ||||
\(248\) | 2150.90 | − | 3725.47i | 0.550736 | − | 0.953902i | ||||
\(249\) | −1558.84 | − | 2706.24i | −0.396738 | − | 0.688759i | ||||
\(250\) | 353.735 | − | 204.229i | 0.0894887 | − | 0.0516663i | ||||
\(251\) | 2240.70 | 0.563473 | 0.281736 | − | 0.959492i | \(-0.409090\pi\) | ||||
0.281736 | + | 0.959492i | \(0.409090\pi\) | |||||||
\(252\) | −438.932 | + | 483.098i | −0.109723 | + | 0.120763i | ||||
\(253\) | 1973.16 | 0.490323 | ||||||||
\(254\) | 3687.86 | − | 2129.19i | 0.911012 | − | 0.525973i | ||||
\(255\) | 1208.97 | + | 2098.84i | 0.296897 | + | 0.515429i | ||||
\(256\) | 974.345 | − | 1687.61i | 0.237877 | − | 0.412015i | ||||
\(257\) | −555.785 | − | 962.648i | −0.134898 | − | 0.233651i | 0.790660 | − | 0.612255i | \(-0.209737\pi\) |
−0.925559 | + | 0.378604i | \(0.876404\pi\) | |||||||
\(258\) | −2176.84 | − | 1259.70i | −0.525287 | − | 0.303975i | ||||
\(259\) | 2903.85 | − | 3208.90i | 0.696665 | − | 0.769851i | ||||
\(260\) | − | 155.866i | − | 0.0371784i | ||||||
\(261\) | 1591.71 | + | 923.223i | 0.377488 | + | 0.218950i | ||||
\(262\) | 1408.03 | + | 812.924i | 0.332016 | + | 0.191689i | ||||
\(263\) | 1782.86 | + | 1029.34i | 0.418007 | + | 0.241337i | 0.694224 | − | 0.719759i | \(-0.255748\pi\) |
−0.276217 | + | 0.961095i | \(0.589081\pi\) | |||||||
\(264\) | −4453.64 | − | 4.45262i | −1.03827 | − | 0.00103803i | ||||
\(265\) | 4387.04i | 1.01696i | ||||||||
\(266\) | −1647.61 | − | 354.512i | −0.379780 | − | 0.0817162i | ||||
\(267\) | −3917.42 | + | 6769.54i | −0.897912 | + | 1.55164i | ||||
\(268\) | 664.420 | + | 1150.81i | 0.151440 | + | 0.262302i | ||||
\(269\) | −2414.62 | + | 4182.24i | −0.547294 | + | 0.947940i | 0.451165 | + | 0.892441i | \(0.351009\pi\) |
−0.998459 | + | 0.0554999i | \(0.982325\pi\) | |||||||
\(270\) | 5058.26 | + | 2940.65i | 1.14013 | + | 0.662824i | ||||
\(271\) | −191.772 | + | 110.720i | −0.0429865 | + | 0.0248183i | −0.521339 | − | 0.853350i | \(-0.674567\pi\) |
0.478353 | + | 0.878168i | \(0.341234\pi\) | |||||||
\(272\) | −1499.62 | −0.334293 | ||||||||
\(273\) | −528.141 | − | 478.894i | −0.117086 | − | 0.106168i | ||||
\(274\) | 1290.91 | 0.284624 | ||||||||
\(275\) | −4155.65 | + | 2399.27i | −0.911255 | + | 0.526113i | ||||
\(276\) | −325.766 | + | 187.647i | −0.0710463 | + | 0.0409240i | ||||
\(277\) | −1233.58 | + | 2136.62i | −0.267576 | + | 0.463455i | −0.968235 | − | 0.250041i | \(-0.919556\pi\) |
0.700660 | + | 0.713496i | \(0.252889\pi\) | |||||||
\(278\) | −1573.99 | − | 2726.22i | −0.339573 | − | 0.588158i | ||||
\(279\) | 4182.63 | − | 2403.70i | 0.897517 | − | 0.515792i | ||||
\(280\) | −5329.09 | − | 4822.47i | −1.13741 | − | 1.02928i | ||||
\(281\) | − | 4174.76i | − | 0.886282i | −0.896452 | − | 0.443141i | \(-0.853864\pi\) | ||
0.896452 | − | 0.443141i | \(-0.146136\pi\) | |||||||
\(282\) | 2.34884 | − | 2349.37i | 0.000495997 | − | 0.496111i | ||||
\(283\) | −5628.39 | − | 3249.55i | −1.18224 | − | 0.682565i | −0.225706 | − | 0.974195i | \(-0.572469\pi\) |
−0.956531 | + | 0.291630i | \(0.905802\pi\) | |||||||
\(284\) | 141.681 | + | 81.7998i | 0.0296030 | + | 0.0170913i | ||||
\(285\) | 2.94488 | − | 2945.55i | 0.000612069 | − | 0.612209i | ||||
\(286\) | − | 682.372i | − | 0.141082i | ||||||
\(287\) | −2101.65 | − | 6523.57i | −0.432252 | − | 1.34172i | ||||
\(288\) | 1368.22 | − | 786.299i | 0.279942 | − | 0.160879i | ||||
\(289\) | 2038.31 | + | 3530.46i | 0.414881 | + | 0.718595i | ||||
\(290\) | −1421.09 | + | 2461.40i | −0.287756 | + | 0.498408i | ||||
\(291\) | −1474.43 | + | 849.300i | −0.297020 | + | 0.171089i | ||||
\(292\) | −254.989 | + | 147.218i | −0.0511030 | + | 0.0295043i | ||||
\(293\) | 5637.32 | 1.12401 | 0.562007 | − | 0.827133i | \(-0.310030\pi\) | ||||
0.562007 | + | 0.827133i | \(0.310030\pi\) | |||||||
\(294\) | −4589.03 | + | 454.540i | −0.910332 | + | 0.0901677i | ||||
\(295\) | 1561.38 | 0.308159 | ||||||||
\(296\) | −4872.38 | + | 2813.07i | −0.956762 | + | 0.552387i | ||||
\(297\) | −4317.76 | − | 2510.16i | −0.843576 | − | 0.490418i | ||||
\(298\) | −3002.90 | + | 5201.17i | −0.583735 | + | 1.01106i | ||||
\(299\) | −205.312 | − | 355.611i | −0.0397108 | − | 0.0687810i | ||||
\(300\) | 457.922 | − | 791.315i | 0.0881270 | − | 0.152289i | ||||
\(301\) | 1062.38 | + | 3297.64i | 0.203436 | + | 0.631472i | ||||
\(302\) | 2529.06i | 0.481892i | ||||||||
\(303\) | −5693.37 | − | 5.69207i | −1.07946 | − | 0.00107921i | ||||
\(304\) | 1579.36 | + | 911.841i | 0.297968 | + | 0.172032i | ||||
\(305\) | 5381.56 | + | 3107.05i | 1.01032 | + | 0.583308i | ||||
\(306\) | −1747.67 | − | 1013.68i | −0.326495 | − | 0.189373i | ||||
\(307\) | − | 3442.95i | − | 0.640064i | −0.947407 | − | 0.320032i | \(-0.896306\pi\) | ||
0.947407 | − | 0.320032i | \(-0.103694\pi\) | |||||||
\(308\) | 638.111 | + | 577.448i | 0.118051 | + | 0.106828i | ||||
\(309\) | 933.976 | + | 540.477i | 0.171948 | + | 0.0995037i | ||||
\(310\) | 3725.67 | + | 6453.05i | 0.682593 | + | 1.18228i | ||||
\(311\) | −75.7324 | + | 131.172i | −0.0138083 | + | 0.0239167i | −0.872847 | − | 0.487994i | \(-0.837729\pi\) |
0.859039 | + | 0.511911i | \(0.171062\pi\) | |||||||
\(312\) | 462.609 | + | 803.116i | 0.0839426 | + | 0.145729i | ||||
\(313\) | 8335.31 | − | 4812.40i | 1.50524 | − | 0.869050i | 0.505257 | − | 0.862969i | \(-0.331398\pi\) |
0.999982 | − | 0.00608123i | \(-0.00193573\pi\) | |||||||
\(314\) | −429.484 | −0.0771885 | ||||||||
\(315\) | −2456.13 | − | 7676.47i | −0.439325 | − | 1.37308i | ||||
\(316\) | −1389.26 | −0.247317 | ||||||||
\(317\) | 7866.93 | − | 4541.98i | 1.39385 | − | 0.804741i | 0.400112 | − | 0.916466i | \(-0.368971\pi\) |
0.993739 | + | 0.111726i | \(0.0356377\pi\) | |||||||
\(318\) | −1826.50 | − | 3170.91i | −0.322092 | − | 0.559170i | ||||
\(319\) | 1213.05 | − | 2101.07i | 0.212909 | − | 0.368768i | ||||
\(320\) | 4561.87 | + | 7901.39i | 0.796926 | + | 1.38032i | ||||
\(321\) | 8107.83 | + | 4691.87i | 1.40977 | + | 0.815809i | ||||
\(322\) | −2596.63 | − | 558.709i | −0.449393 | − | 0.0966946i | ||||
\(323\) | 1017.12i | 0.175214i | ||||||||
\(324\) | 951.570 | + | 3.80543i | 0.163164 | + | 0.000652509i | ||||
\(325\) | 864.811 | + | 499.299i | 0.147603 | + | 0.0852188i | ||||
\(326\) | −2189.27 | − | 1263.98i | −0.371941 | − | 0.214740i | ||||
\(327\) | −1473.88 | − | 1.47355i | −0.249254 | − | 0.000249197i | ||||
\(328\) | 8910.00i | 1.49992i | ||||||||
\(329\) | −2171.52 | + | 2399.65i | −0.363890 | + | 0.402118i | ||||
\(330\) | 3863.85 | − | 6676.95i | 0.644539 | − | 1.11380i | ||||
\(331\) | 702.788 | + | 1217.26i | 0.116703 | + | 0.202136i | 0.918459 | − | 0.395516i | \(-0.129434\pi\) |
−0.801756 | + | 0.597651i | \(0.796101\pi\) | |||||||
\(332\) | 392.275 | − | 679.440i | 0.0648460 | − | 0.112317i | ||||
\(333\) | −6309.25 | − | 12.6156i | −1.03827 | − | 0.00207607i | ||||
\(334\) | 2.25664 | − | 1.30287i | 0.000369695 | − | 0.000213443i | ||||
\(335\) | −16408.6 | −2.67611 | ||||||||
\(336\) | 4877.38 | + | 1054.55i | 0.791913 | + | 0.171222i | ||||
\(337\) | 7983.35 | 1.29045 | 0.645223 | − | 0.763994i | \(-0.276764\pi\) | ||||
0.645223 | + | 0.763994i | \(0.276764\pi\) | |||||||
\(338\) | 4799.97 | − | 2771.27i | 0.772438 | − | 0.445967i | ||||
\(339\) | 4670.97 | − | 2690.56i | 0.748354 | − | 0.431066i | ||||
\(340\) | −304.231 | + | 526.944i | −0.0485272 | + | 0.0840516i | ||||
\(341\) | −3180.25 | − | 5508.36i | −0.505045 | − | 0.874764i | ||||
\(342\) | 1224.23 | + | 2130.25i | 0.193563 | + | 0.336815i | ||||
\(343\) | 5111.13 | + | 3772.26i | 0.804592 | + | 0.593828i | ||||
\(344\) | − | 4503.97i | − | 0.705924i | ||||||
\(345\) | 4.64112 | − | 4642.18i | 0.000724260 | − | 0.724425i | ||||
\(346\) | −8865.68 | − | 5118.60i | −1.37752 | − | 0.795312i | ||||
\(347\) | 2268.41 | + | 1309.67i | 0.350935 | + | 0.202612i | 0.665097 | − | 0.746757i | \(-0.268390\pi\) |
−0.314162 | + | 0.949369i | \(0.601724\pi\) | |||||||
\(348\) | −0.462138 | + | 462.243i | −7.11873e−5 | + | 0.0712036i | ||||
\(349\) | − | 6032.33i | − | 0.925224i | −0.886561 | − | 0.462612i | \(-0.846912\pi\) | ||
0.886561 | − | 0.462612i | \(-0.153088\pi\) | |||||||
\(350\) | 6148.09 | − | 1980.68i | 0.938941 | − | 0.302491i | ||||
\(351\) | −3.11736 | + | 1039.35i | −0.000474052 | + | 0.158053i | ||||
\(352\) | −1040.32 | − | 1801.89i | −0.157527 | − | 0.272845i | ||||
\(353\) | −2658.15 | + | 4604.06i | −0.400791 | + | 0.694190i | −0.993822 | − | 0.110990i | \(-0.964598\pi\) |
0.593031 | + | 0.805180i | \(0.297931\pi\) | |||||||
\(354\) | −1128.55 | + | 650.066i | −0.169440 | + | 0.0976005i | ||||
\(355\) | −1749.49 | + | 1010.07i | −0.261558 | + | 0.151011i | ||||
\(356\) | −1964.78 | −0.292509 | ||||||||
\(357\) | 850.770 | + | 2649.89i | 0.126128 | + | 0.392849i | ||||
\(358\) | −7240.77 | −1.06896 | ||||||||
\(359\) | 1612.51 | − | 930.982i | 0.237061 | − | 0.136867i | −0.376764 | − | 0.926309i | \(-0.622963\pi\) |
0.613825 | + | 0.789442i | \(0.289630\pi\) | |||||||
\(360\) | −20.9510 | + | 10477.9i | −0.00306727 | + | 1.53398i | ||||
\(361\) | −2811.04 | + | 4868.87i | −0.409832 | + | 0.709851i | ||||
\(362\) | 1949.28 | + | 3376.25i | 0.283016 | + | 0.490198i | ||||
\(363\) | 165.822 | − | 286.550i | 0.0239763 | − | 0.0414325i | ||||
\(364\) | 37.6731 | − | 175.088i | 0.00542475 | − | 0.0252118i | ||||
\(365\) | − | 3635.70i | − | 0.521373i | ||||||
\(366\) | −5183.34 | − | 5.18215i | −0.740266 | − | 0.000740097i | ||||
\(367\) | −1675.89 | − | 967.574i | −0.238367 | − | 0.137621i | 0.376059 | − | 0.926596i | \(-0.377279\pi\) |
−0.614426 | + | 0.788975i | \(0.710612\pi\) | |||||||
\(368\) | 2489.06 | + | 1437.06i | 0.352585 | + | 0.203565i | ||||
\(369\) | −5013.21 | + | 8643.18i | −0.707255 | + | 1.21937i | ||||
\(370\) | − | 9745.28i | − | 1.36928i | ||||||
\(371\) | −1060.36 | + | 4928.06i | −0.148385 | + | 0.689629i | ||||
\(372\) | 1048.90 | + | 606.980i | 0.146190 | + | 0.0845980i | ||||
\(373\) | −3871.04 | − | 6704.83i | −0.537359 | − | 0.930732i | −0.999045 | − | 0.0436892i | \(-0.986089\pi\) |
0.461687 | − | 0.887043i | \(-0.347244\pi\) | |||||||
\(374\) | −1331.91 | + | 2306.93i | −0.184148 | + | 0.318953i | ||||
\(375\) | 409.432 | + | 710.797i | 0.0563812 | + | 0.0978810i | ||||
\(376\) | 3643.61 | − | 2103.64i | 0.499747 | − | 0.288529i | ||||
\(377\) | −504.884 | −0.0689730 | ||||||||
\(378\) | 4971.30 | + | 4525.90i | 0.676445 | + | 0.615839i | ||||
\(379\) | −3722.15 | −0.504470 | −0.252235 | − | 0.967666i | \(-0.581166\pi\) | ||||
−0.252235 | + | 0.967666i | \(0.581166\pi\) | |||||||
\(380\) | 640.815 | − | 369.975i | 0.0865082 | − | 0.0499455i | ||||
\(381\) | 4268.53 | + | 7410.41i | 0.573972 | + | 0.996448i | ||||
\(382\) | 4757.15 | − | 8239.63i | 0.637165 | − | 1.10360i | ||||
\(383\) | 3546.73 | + | 6143.12i | 0.473184 | + | 0.819578i | 0.999529 | − | 0.0306926i | \(-0.00977131\pi\) |
−0.526345 | + | 0.850271i | \(0.676438\pi\) | |||||||
\(384\) | −4484.08 | − | 2594.87i | −0.595905 | − | 0.344841i | ||||
\(385\) | −10114.8 | + | 3258.60i | −1.33895 | + | 0.431359i | ||||
\(386\) | − | 334.984i | − | 0.0441716i | ||||||
\(387\) | 2534.16 | − | 4369.09i | 0.332864 | − | 0.573885i | ||||
\(388\) | −370.177 | − | 213.722i | −0.0484353 | − | 0.0279641i | ||||
\(389\) | −6173.12 | − | 3564.05i | −0.804601 | − | 0.464537i | 0.0404765 | − | 0.999180i | \(-0.487112\pi\) |
−0.845077 | + | 0.534644i | \(0.820446\pi\) | |||||||
\(390\) | −1605.39 | − | 1.60502i | −0.208441 | − | 0.000208394i | ||||
\(391\) | 1602.98i | 0.207330i | ||||||||
\(392\) | −4820.69 | − | 6705.25i | −0.621126 | − | 0.863945i | ||||
\(393\) | −1635.38 | + | 2826.03i | −0.209908 | + | 0.362733i | ||||
\(394\) | 3939.08 | + | 6822.69i | 0.503675 | + | 0.872391i | ||||
\(395\) | 8577.33 | − | 14856.4i | 1.09259 | − | 1.89242i | ||||
\(396\) | 2.50870 | − | 1254.63i | 0.000318351 | − | 0.159211i | ||||
\(397\) | 7738.99 | − | 4468.11i | 0.978360 | − | 0.564857i | 0.0765855 | − | 0.997063i | \(-0.475598\pi\) |
0.901775 | + | 0.432206i | \(0.142265\pi\) | |||||||
\(398\) | 10332.3 | 1.30128 | ||||||||
\(399\) | 715.255 | − | 3308.10i | 0.0897432 | − | 0.415068i | ||||
\(400\) | −6989.56 | −0.873695 | ||||||||
\(401\) | −7719.60 | + | 4456.91i | −0.961343 | + | 0.555032i | −0.896586 | − | 0.442869i | \(-0.853961\pi\) |
−0.0647568 | + | 0.997901i | \(0.520627\pi\) | |||||||
\(402\) | 11860.0 | − | 6831.56i | 1.47145 | − | 0.847580i | ||||
\(403\) | −661.826 | + | 1146.32i | −0.0818062 | + | 0.141692i | ||||
\(404\) | −715.112 | − | 1238.61i | −0.0880648 | − | 0.152533i | ||||
\(405\) | −5915.71 | + | 10152.3i | −0.725812 | + | 1.24561i | ||||
\(406\) | −2191.27 | + | 2421.47i | −0.267859 | + | 0.295999i | ||||
\(407\) | 8318.63i | 1.01312i | ||||||||
\(408\) | 3.61727 | − | 3618.09i | 0.000438925 | − | 0.439025i | ||||
\(409\) | −2680.13 | − | 1547.37i | −0.324019 | − | 0.187073i | 0.329163 | − | 0.944273i | \(-0.393233\pi\) |
−0.653183 | + | 0.757200i | \(0.726567\pi\) | |||||||
\(410\) | −13365.7 | − | 7716.69i | −1.60996 | − | 0.929513i | ||||
\(411\) | −2.59188 | + | 2592.47i | −0.000311066 | + | 0.311137i | ||||
\(412\) | 271.076i | 0.0324149i | ||||||||
\(413\) | 1753.93 | + | 377.389i | 0.208972 | + | 0.0449639i | ||||
\(414\) | 1929.38 | + | 3357.26i | 0.229043 | + | 0.398552i | ||||
\(415\) | 4843.82 | + | 8389.74i | 0.572949 | + | 0.992377i | ||||
\(416\) | −216.496 | + | 374.983i | −0.0255159 | + | 0.0441948i | ||||
\(417\) | 5478.09 | − | 3155.48i | 0.643317 | − | 0.370562i | ||||
\(418\) | 2805.45 | − | 1619.73i | 0.328276 | − | 0.189530i | ||||
\(419\) | 7234.25 | 0.843476 | 0.421738 | − | 0.906718i | \(-0.361420\pi\) | ||||
0.421738 | + | 0.906718i | \(0.361420\pi\) | |||||||
\(420\) | 1360.04 | − | 1499.90i | 0.158008 | − | 0.174256i | ||||
\(421\) | 406.124 | 0.0470148 | 0.0235074 | − | 0.999724i | \(-0.492517\pi\) | ||||
0.0235074 | + | 0.999724i | \(0.492517\pi\) | |||||||
\(422\) | −9822.77 | + | 5671.18i | −1.13309 | + | 0.654191i | ||||
\(423\) | 4718.11 | + | 9.43408i | 0.542323 | + | 0.00108440i | ||||
\(424\) | 3276.60 | − | 5675.23i | 0.375296 | − | 0.650032i | ||||
\(425\) | −1949.14 | − | 3376.01i | −0.222464 | − | 0.385319i | ||||
\(426\) | 843.982 | − | 1458.45i | 0.0959885 | − | 0.165874i | ||||
\(427\) | 5294.25 | + | 4790.95i | 0.600016 | + | 0.542975i | ||||
\(428\) | 2353.21i | 0.265763i | ||||||||
\(429\) | 1370.37 | + | 1.37006i | 0.154224 | + | 0.000154189i | ||||
\(430\) | 6756.31 | + | 3900.76i | 0.757717 | + | 0.437468i | ||||
\(431\) | 10590.4 | + | 6114.37i | 1.18358 | + | 0.683338i | 0.956839 | − | 0.290618i | \(-0.0938609\pi\) |
0.226737 | + | 0.973956i | \(0.427194\pi\) | |||||||
\(432\) | −3618.52 | − | 6311.09i | −0.403000 | − | 0.702876i | ||||
\(433\) | − | 3252.79i | − | 0.361014i | −0.983574 | − | 0.180507i | \(-0.942226\pi\) | ||
0.983574 | − | 0.180507i | \(-0.0577738\pi\) | |||||||
\(434\) | 2625.41 | + | 8149.36i | 0.290378 | + | 0.901341i | ||||
\(435\) | −4940.24 | − | 2858.84i | −0.544521 | − | 0.315105i | ||||
\(436\) | −185.126 | − | 320.648i | −0.0203348 | − | 0.0352208i | ||||
\(437\) | 974.689 | − | 1688.21i | 0.106695 | − | 0.184801i | ||||
\(438\) | 1513.69 | + | 2627.85i | 0.165130 | + | 0.286675i | ||||
\(439\) | −13036.8 | + | 7526.81i | −1.41734 | + | 0.818303i | −0.996065 | − | 0.0886287i | \(-0.971752\pi\) |
−0.421278 | + | 0.906932i | \(0.638418\pi\) | |||||||
\(440\) | 13814.9 | 1.49682 | ||||||||
\(441\) | −903.614 | − | 9216.81i | −0.0975720 | − | 0.995228i | ||||
\(442\) | 554.353 | 0.0596558 | ||||||||
\(443\) | 204.373 | − | 117.995i | 0.0219189 | − | 0.0126549i | −0.489001 | − | 0.872283i | \(-0.662638\pi\) |
0.510919 | + | 0.859629i | \(0.329305\pi\) | |||||||
\(444\) | −791.098 | − | 1373.39i | −0.0845583 | − | 0.146798i | ||||
\(445\) | 12130.6 | − | 21010.8i | 1.29224 | − | 2.23822i | ||||
\(446\) | −6276.44 | − | 10871.1i | −0.666364 | − | 1.15418i | ||||
\(447\) | −10439.2 | − | 6040.99i | −1.10460 | − | 0.639215i | ||||
\(448\) | 3214.67 | + | 9978.44i | 0.339016 | + | 1.05231i | ||||
\(449\) | 5874.66i | 0.617466i | 0.951149 | + | 0.308733i | \(0.0999049\pi\) | ||||
−0.951149 | + | 0.308733i | \(0.900095\pi\) | |||||||
\(450\) | −8145.69 | − | 4724.66i | −0.853315 | − | 0.494939i | ||||
\(451\) | 11409.0 | + | 6587.02i | 1.19120 | + | 0.687739i | ||||
\(452\) | 1172.71 | + | 677.066i | 0.122035 | + | 0.0704568i | ||||
\(453\) | −5078.98 | − | 5.07782i | −0.526780 | − | 0.000526660i | ||||
\(454\) | 6127.24i | 0.633405i | ||||||||
\(455\) | 1639.74 | + | 1483.86i | 0.168950 | + | 0.152889i | ||||
\(456\) | −2203.79 | + | 3808.27i | −0.226320 | + | 0.391094i | ||||
\(457\) | −153.883 | − | 266.533i | −0.0157513 | − | 0.0272821i | 0.858042 | − | 0.513579i | \(-0.171681\pi\) |
−0.873794 | + | 0.486297i | \(0.838347\pi\) | |||||||
\(458\) | −5582.89 | + | 9669.85i | −0.569588 | + | 0.986556i | ||||
\(459\) | 2039.23 | − | 3507.71i | 0.207370 | − | 0.356701i | ||||
\(460\) | 1009.92 | − | 583.079i | 0.102365 | − | 0.0591004i | ||||
\(461\) | −4752.26 | −0.480119 | −0.240060 | − | 0.970758i | \(-0.577167\pi\) | ||||
−0.240060 | + | 0.970758i | \(0.577167\pi\) | |||||||
\(462\) | 5954.19 | − | 6566.48i | 0.599597 | − | 0.661256i | ||||
\(463\) | −9529.43 | −0.956523 | −0.478261 | − | 0.878218i | \(-0.658733\pi\) | ||||
−0.478261 | + | 0.878218i | \(0.658733\pi\) | |||||||
\(464\) | 3060.42 | − | 1766.94i | 0.306199 | − | 0.176784i | ||||
\(465\) | −12966.8 | + | 7469.10i | −1.29316 | + | 0.744884i | ||||
\(466\) | −7210.74 | + | 12489.4i | −0.716805 | + | 1.24154i | ||||
\(467\) | −3269.28 | − | 5662.56i | −0.323949 | − | 0.561097i | 0.657350 | − | 0.753586i | \(-0.271677\pi\) |
−0.981299 | + | 0.192489i | \(0.938344\pi\) | |||||||
\(468\) | −226.376 | + | 130.096i | −0.0223595 | + | 0.0128497i | ||||
\(469\) | −18432.1 | − | 3965.99i | −1.81475 | − | 0.390474i | ||||
\(470\) | 7287.61i | 0.715218i | ||||||||
\(471\) | 0.862312 | − | 862.509i | 8.43593e−5 | − | 0.0843786i | ||||
\(472\) | −2019.85 | − | 1166.16i | −0.196973 | − | 0.113723i | ||||
\(473\) | −5767.23 | − | 3329.71i | −0.560629 | − | 0.323679i | ||||
\(474\) | −14.3059 | + | 14309.2i | −0.00138627 | + | 1.38659i | ||||
\(475\) | 4740.69i | 0.457932i | ||||||||
\(476\) | −469.113 | + | 518.395i | −0.0451718 | + | 0.0499172i | ||||
\(477\) | 6371.64 | − | 3661.70i | 0.611609 | − | 0.351484i | ||||
\(478\) | −6059.32 | − | 10495.0i | −0.579805 | − | 1.00425i | ||||
\(479\) | 3671.28 | − | 6358.85i | 0.350199 | − | 0.606562i | −0.636085 | − | 0.771619i | \(-0.719447\pi\) |
0.986284 | + | 0.165057i | \(0.0527807\pi\) | |||||||
\(480\) | −4241.69 | + | 2443.29i | −0.403345 | + | 0.232334i | ||||
\(481\) | 1499.22 | − | 865.574i | 0.142117 | − | 0.0820515i | ||||
\(482\) | −5666.94 | −0.535523 | ||||||||
\(483\) | 1127.24 | − | 5213.55i | 0.106193 | − | 0.491148i | ||||
\(484\) | 83.1680 | 0.00781066 | ||||||||
\(485\) | 4570.96 | − | 2639.05i | 0.427952 | − | 0.247078i | ||||
\(486\) | 48.9940 | − | 9800.97i | 0.00457287 | − | 0.914775i | ||||
\(487\) | −3508.78 | + | 6077.39i | −0.326485 | + | 0.565489i | −0.981812 | − | 0.189857i | \(-0.939198\pi\) |
0.655327 | + | 0.755345i | \(0.272531\pi\) | |||||||
\(488\) | −4641.19 | − | 8038.77i | −0.430526 | − | 0.745693i | ||||
\(489\) | 2542.77 | − | 4394.06i | 0.235150 | − | 0.406352i | ||||
\(490\) | 14233.5 | − | 1424.19i | 1.31225 | − | 0.131302i | ||||
\(491\) | 224.222i | 0.0206089i | 0.999947 | + | 0.0103045i | \(0.00328007\pi\) | ||||
−0.999947 | + | 0.0103045i | \(0.996720\pi\) | |||||||
\(492\) | −2510.04 | − | 2.50946i | −0.230002 | − | 0.000229950i | ||||
\(493\) | 1706.89 | + | 985.471i | 0.155932 | + | 0.0900272i | ||||
\(494\) | −583.829 | − | 337.074i | −0.0531735 | − | 0.0306997i | ||||
\(495\) | 13401.2 | + | 7772.96i | 1.21685 | + | 0.705795i | ||||
\(496\) | − | 9264.74i | − | 0.838708i | ||||||
\(497\) | −2209.38 | + | 711.777i | −0.199405 | + | 0.0642406i | ||||
\(498\) | −6994.07 | − | 4047.36i | −0.629341 | − | 0.364189i | ||||
\(499\) | 10396.1 | + | 18006.6i | 0.932651 | + | 1.61540i | 0.778770 | + | 0.627309i | \(0.215844\pi\) |
0.153881 | + | 0.988089i | \(0.450823\pi\) | |||||||
\(500\) | −103.031 | + | 178.456i | −0.00921540 | + | 0.0159615i | ||||
\(501\) | 2.61196 | + | 4.53451i | 0.000232922 | + | 0.000404365i | ||||
\(502\) | 5020.87 | − | 2898.80i | 0.446399 | − | 0.257729i | ||||
\(503\) | −7341.52 | −0.650780 | −0.325390 | − | 0.945580i | \(-0.605496\pi\) | ||||
−0.325390 | + | 0.945580i | \(0.605496\pi\) | |||||||
\(504\) | −2556.06 | + | 11765.0i | −0.225905 | + | 1.03979i | ||||
\(505\) | 17660.5 | 1.55620 | ||||||||
\(506\) | 4421.38 | − | 2552.69i | 0.388448 | − | 0.224270i | ||||
\(507\) | 5555.74 | + | 9645.09i | 0.486665 | + | 0.844878i | ||||
\(508\) | −1074.15 | + | 1860.49i | −0.0938146 | + | 0.162492i | ||||
\(509\) | 9956.11 | + | 17244.5i | 0.866988 | + | 1.50167i | 0.865060 | + | 0.501669i | \(0.167280\pi\) |
0.00192778 | + | 0.999998i | \(0.499386\pi\) | |||||||
\(510\) | 5424.29 | + | 3138.95i | 0.470964 | + | 0.272539i | ||||
\(511\) | 878.757 | − | 4084.07i | 0.0760742 | − | 0.353559i | ||||
\(512\) | − | 13018.4i | − | 1.12370i | ||||||
\(513\) | −4280.52 | + | 2454.27i | −0.368400 | + | 0.211225i | ||||
\(514\) | −2490.76 | − | 1438.04i | −0.213741 | − | 0.123403i | ||||
\(515\) | −2898.81 | − | 1673.63i | −0.248032 | − | 0.143202i | ||||
\(516\) | 1268.81 | + | 1.26852i | 0.108249 | + | 0.000108224i | ||||
\(517\) | − | 6220.75i | − | 0.529184i | ||||||
\(518\) | 2355.46 | − | 10947.1i | 0.199793 | − | 0.928548i | ||||
\(519\) | 10297.2 | − | 17794.2i | 0.870900 | − | 1.50497i | ||||
\(520\) | −1437.47 | − | 2489.78i | −0.121226 | − | 0.209969i | ||||
\(521\) | 3745.90 | − | 6488.08i | 0.314992 | − | 0.545582i | −0.664444 | − | 0.747338i | \(-0.731332\pi\) |
0.979436 | + | 0.201756i | \(0.0646649\pi\) | |||||||
\(522\) | 4761.02 | + | 9.51987i | 0.399203 | + | 0.000798225i | ||||
\(523\) | 249.515 | − | 144.058i | 0.0208614 | − | 0.0120444i | −0.489533 | − | 0.871985i | \(-0.662833\pi\) |
0.510394 | + | 0.859940i | \(0.329499\pi\) | |||||||
\(524\) | −820.223 | −0.0683809 | ||||||||
\(525\) | 3965.35 | + | 12350.8i | 0.329642 | + | 1.02673i | ||||
\(526\) | 5326.62 | 0.441543 | ||||||||
\(527\) | 4474.94 | − | 2583.61i | 0.369889 | − | 0.213555i | ||||
\(528\) | −8311.49 | + | 4787.57i | −0.685059 | + | 0.394606i | ||||
\(529\) | −4547.39 | + | 7876.32i | −0.373748 | + | 0.647351i | ||||
\(530\) | 5675.53 | + | 9830.30i | 0.465149 | + | 0.805662i | ||||
\(531\) | −1303.23 | − | 2267.71i | −0.106507 | − | 0.185330i | ||||
\(532\) | 809.266 | − | 260.715i | 0.0659514 | − | 0.0212470i | ||||
\(533\) | − | 2741.58i | − | 0.222797i | ||||||
\(534\) | −20.2323 | + | 20236.9i | −0.00163958 | + | 1.63996i | ||||
\(535\) | −25164.5 | − | 14528.7i | −2.03356 | − | 1.17408i | ||||
\(536\) | 21226.7 | + | 12255.2i | 1.71055 | + | 0.987586i | ||||
\(537\) | 14.5379 | − | 14541.2i | 0.00116826 | − | 1.16853i | ||||
\(538\) | 12495.2i | 1.00131i | ||||||||
\(539\) | −12149.8 | + | 1215.69i | −0.970923 | + | 0.0971496i | ||||
\(540\) | −2951.72 | − | 8.85317i | −0.235226 | − | 0.000705518i | ||||
\(541\) | −7400.87 | − | 12818.7i | −0.588149 | − | 1.01870i | −0.994475 | − | 0.104975i | \(-0.966524\pi\) |
0.406326 | − | 0.913728i | \(-0.366810\pi\) | |||||||
\(542\) | −286.478 | + | 496.194i | −0.0227034 | + | 0.0393235i | ||||
\(543\) | −6784.24 | + | 3907.85i | −0.536169 | + | 0.308843i | ||||
\(544\) | 1463.84 | − | 845.149i | 0.115371 | − | 0.0666093i | ||||
\(545\) | 4571.90 | 0.359337 | ||||||||
\(546\) | −1802.98 | − | 389.829i | −0.141320 | − | 0.0305552i | ||||
\(547\) | −4036.80 | −0.315541 | −0.157771 | − | 0.987476i | \(-0.550431\pi\) | ||||
−0.157771 | + | 0.987476i | \(0.550431\pi\) | |||||||
\(548\) | −564.001 | + | 325.626i | −0.0439652 | + | 0.0253833i | ||||
\(549\) | 20.8141 | − | 10409.4i | 0.00161807 | − | 0.809221i | ||||
\(550\) | −6207.88 | + | 10752.4i | −0.481282 | + | 0.833604i | ||||
\(551\) | −1198.43 | − | 2075.74i | −0.0926585 | − | 0.160489i | ||||
\(552\) | −3473.16 | + | 6001.82i | −0.267803 | + | 0.462780i | ||||
\(553\) | 13225.9 | − | 14615.4i | 1.01704 | − | 1.12388i | ||||
\(554\) | 6383.53i | 0.489549i | ||||||||
\(555\) | 19570.9 | + | 19.5664i | 1.49683 | + | 0.00149649i | ||||
\(556\) | 1375.35 | + | 794.059i | 0.104906 | + | 0.0605676i | ||||
\(557\) | −14891.1 | − | 8597.36i | −1.13277 | − | 0.654007i | −0.188142 | − | 0.982142i | \(-0.560246\pi\) |
−0.944631 | + | 0.328135i | \(0.893580\pi\) | |||||||
\(558\) | 6262.59 | − | 10797.2i | 0.475119 | − | 0.819143i | ||||
\(559\) | 1385.86i | 0.104858i | ||||||||
\(560\) | −15132.6 | − | 3256.03i | −1.14191 | − | 0.245701i | ||||
\(561\) | −4630.21 | − | 2679.43i | −0.348463 | − | 0.201650i | ||||
\(562\) | −5400.90 | − | 9354.64i | −0.405380 | − | 0.702138i | ||||
\(563\) | −9453.63 | + | 16374.2i | −0.707678 | + | 1.22573i | 0.258038 | + | 0.966135i | \(0.416924\pi\) |
−0.965716 | + | 0.259600i | \(0.916409\pi\) | |||||||
\(564\) | 591.591 | + | 1027.04i | 0.0441675 | + | 0.0766773i | ||||
\(565\) | −14480.7 | + | 8360.43i | −1.07824 | + | 0.622524i | ||||
\(566\) | −16815.8 | −1.24880 | ||||||||
\(567\) | −9099.09 | + | 9974.51i | −0.673944 | + | 0.738783i | ||||
\(568\) | 3017.60 | 0.222915 | ||||||||
\(569\) | 6255.57 | − | 3611.66i | 0.460891 | − | 0.266096i | −0.251528 | − | 0.967850i | \(-0.580933\pi\) |
0.712419 | + | 0.701754i | \(0.247600\pi\) | |||||||
\(570\) | −3804.07 | − | 6604.09i | −0.279535 | − | 0.485289i | ||||
\(571\) | 4965.17 | − | 8599.93i | 0.363898 | − | 0.630290i | −0.624700 | − | 0.780865i | \(-0.714779\pi\) |
0.988599 | + | 0.150574i | \(0.0481122\pi\) | |||||||
\(572\) | 172.125 | + | 298.129i | 0.0125820 | + | 0.0217926i | ||||
\(573\) | 16537.7 | + | 9570.08i | 1.20571 | + | 0.697724i | ||||
\(574\) | −13148.9 | − | 11898.9i | −0.956138 | − | 0.865242i | ||||
\(575\) | 7471.31i | 0.541870i | ||||||||
\(576\) | 7668.19 | − | 13220.6i | 0.554701 | − | 0.956349i | ||||
\(577\) | 7254.16 | + | 4188.19i | 0.523388 | + | 0.302178i | 0.738320 | − | 0.674451i | \(-0.235620\pi\) |
−0.214932 | + | 0.976629i | \(0.568953\pi\) | |||||||
\(578\) | 9134.73 | + | 5273.94i | 0.657361 | + | 0.379528i | ||||
\(579\) | 672.730 | + | 0.672576i | 0.0482862 | + | 4.82752e-5i | ||||
\(580\) | − | 1433.85i | − | 0.102651i | ||||||
\(581\) | 3413.36 | + | 10595.2i | 0.243735 | + | 0.756560i | ||||
\(582\) | −2205.11 | + | 3810.56i | −0.157053 | + | 0.271397i | ||||
\(583\) | −4844.67 | − | 8391.21i | −0.344161 | − | 0.596104i | ||||
\(584\) | −2715.44 | + | 4703.27i | −0.192407 | + | 0.333258i | ||||
\(585\) | 6.44656 | − | 3224.01i | 0.000455611 | − | 0.227857i | ||||
\(586\) | 12631.9 | − | 7293.03i | 0.890476 | − | 0.514116i | ||||
\(587\) | 21277.2 | 1.49609 | 0.748043 | − | 0.663650i | \(-0.230994\pi\) | ||||
0.748043 | + | 0.663650i | \(0.230994\pi\) | |||||||
\(588\) | 1890.29 | − | 1356.15i | 0.132576 | − | 0.0951132i | ||||
\(589\) | −6283.84 | −0.439594 | ||||||||
\(590\) | 3498.67 | − | 2019.96i | 0.244132 | − | 0.140950i | ||||
\(591\) | −13709.5 | + | 7896.94i | −0.954204 | + | 0.549639i | ||||
\(592\) | −6058.48 | + | 10493.6i | −0.420611 | + | 0.728520i | ||||
\(593\) | 1424.49 | + | 2467.29i | 0.0986454 | + | 0.170859i | 0.911124 | − | 0.412132i | \(-0.135216\pi\) |
−0.812479 | + | 0.582991i | \(0.801882\pi\) | |||||||
\(594\) | −12922.5 | − | 38.7587i | −0.892619 | − | 0.00267725i | ||||
\(595\) | −2647.25 | − | 8217.14i | −0.182398 | − | 0.566168i | ||||
\(596\) | − | 3029.86i | − | 0.208235i | ||||||
\(597\) | −20.7450 | + | 20749.7i | −0.00142217 | + | 1.42249i | ||||
\(598\) | −920.111 | − | 531.227i | −0.0629200 | − | 0.0363269i | ||||
\(599\) | −3844.40 | − | 2219.57i | −0.262234 | − | 0.151401i | 0.363119 | − | 0.931743i | \(-0.381712\pi\) |
−0.625353 | + | 0.780342i | \(0.715045\pi\) | |||||||
\(600\) | 16.8597 | − | 16863.5i | 0.00114716 | − | 1.14742i | ||||
\(601\) | 7868.29i | 0.534033i | 0.963692 | + | 0.267017i | \(0.0860379\pi\) | ||||
−0.963692 | + | 0.267017i | \(0.913962\pi\) | |||||||
\(602\) | 6646.70 | + | 6014.83i | 0.449999 | + | 0.407220i | ||||
\(603\) | 13695.6 | + | 23831.4i | 0.924924 | + | 1.60944i | ||||
\(604\) | −637.943 | − | 1104.95i | −0.0429761 | − | 0.0744367i | ||||
\(605\) | −513.480 | + | 889.374i | −0.0345057 | + | 0.0597656i | ||||
\(606\) | −12764.8 | + | 7352.78i | −0.855670 | + | 0.492881i | ||||
\(607\) | −15144.9 | + | 8743.92i | −1.01271 | + | 0.584686i | −0.911983 | − | 0.410228i | \(-0.865449\pi\) |
−0.100724 | + | 0.994914i | \(0.532116\pi\) | |||||||
\(608\) | −2055.57 | −0.137112 | ||||||||
\(609\) | −4858.50 | − | 4405.47i | −0.323278 | − | 0.293134i | ||||
\(610\) | 16078.4 | 1.06720 | ||||||||
\(611\) | −1121.13 | + | 647.284i | −0.0742324 | + | 0.0428581i | ||||
\(612\) | 1019.25 | + | 2.03804i | 0.0673216 | + | 0.000134613i | ||||
\(613\) | −6422.07 | + | 11123.3i | −0.423140 | + | 0.732900i | −0.996245 | − | 0.0865820i | \(-0.972406\pi\) |
0.573105 | + | 0.819482i | \(0.305739\pi\) | |||||||
\(614\) | −4454.16 | − | 7714.83i | −0.292761 | − | 0.507077i | ||||
\(615\) | 15523.8 | − | 26826.1i | 1.01786 | − | 1.75892i | ||||
\(616\) | 15518.6 | + | 3339.10i | 1.01504 | + | 0.218403i | ||||
\(617\) | − | 23625.5i | − | 1.54153i | −0.637117 | − | 0.770767i | \(-0.719873\pi\) | ||
0.637117 | − | 0.770767i | \(-0.280127\pi\) | |||||||
\(618\) | 2792.03 | + | 2.79140i | 0.181735 | + | 0.000181693i | ||||
\(619\) | 16529.1 | + | 9543.05i | 1.07328 | + | 0.619657i | 0.929075 | − | 0.369891i | \(-0.120605\pi\) |
0.144202 | + | 0.989548i | \(0.453938\pi\) | |||||||
\(620\) | −3255.49 | − | 1879.56i | −0.210877 | − | 0.121750i | ||||
\(621\) | −6746.08 | + | 3867.92i | −0.435927 | + | 0.249942i | ||||
\(622\) | 391.901i | 0.0252633i | ||||||||
\(623\) | 18704.9 | − | 20669.9i | 1.20289 | − | 1.32925i | ||||
\(624\) | 1727.67 | + | 999.772i | 0.110836 | + | 0.0641393i | ||||
\(625\) | 7152.40 | + | 12388.3i | 0.457754 | + | 0.792853i | ||||
\(626\) | 12451.6 | − | 21566.9i | 0.794996 | − | 1.37697i | ||||
\(627\) | 3247.18 | + | 5637.29i | 0.206826 | + | 0.359062i | ||||
\(628\) | 187.642 | − | 108.335i | 0.0119231 | − | 0.00688382i | ||||
\(629\) | −6757.98 | −0.428391 | ||||||||
\(630\) | −15434.7 | − | 14023.6i | −0.976084 | − | 0.886848i | ||||
\(631\) | 32.3893 | 0.00204342 | 0.00102171 | − | 0.999999i | \(-0.499675\pi\) | ||||
0.00102171 | + | 0.999999i | \(0.499675\pi\) | |||||||
\(632\) | −22191.9 | + | 12812.5i | −1.39675 | + | 0.806414i | ||||
\(633\) | −11369.4 | − | 19737.9i | −0.713891 | − | 1.23935i | ||||
\(634\) | 11751.9 | − | 20355.0i | 0.736166 | − | 1.27508i | ||||
\(635\) | −13263.7 | − | 22973.4i | −0.828902 | − | 1.43570i | ||||
\(636\) | 1597.85 | + | 924.648i | 0.0996207 | + | 0.0576489i | ||||
\(637\) | 1483.31 | + | 2063.19i | 0.0922620 | + | 0.128330i | ||||
\(638\) | − | 6277.32i | − | 0.389532i | ||||||
\(639\) | 2927.23 | + | 1697.85i | 0.181220 | + | 0.105111i | ||||
\(640\) | 13917.4 | + | 8035.20i | 0.859583 | + | 0.496280i | ||||
\(641\) | 18742.7 | + | 10821.1i | 1.15490 | + | 0.666784i | 0.950078 | − | 0.312014i | \(-0.101004\pi\) |
0.204827 | + | 0.978798i | \(0.434337\pi\) | |||||||
\(642\) | 24237.6 | + | 24.2321i | 1.49000 | + | 0.00148966i | ||||
\(643\) | 19867.3i | 1.21849i | 0.792982 | + | 0.609246i | \(0.208528\pi\) | ||||
−0.792982 | + | 0.609246i | \(0.791472\pi\) | |||||||
\(644\) | 1275.40 | − | 410.886i | 0.0780401 | − | 0.0251416i | ||||
\(645\) | −7847.24 | + | 13560.5i | −0.479046 | + | 0.827820i | ||||
\(646\) | 1315.85 | + | 2279.12i | 0.0801417 | + | 0.138809i | ||||
\(647\) | −11212.2 | + | 19420.1i | −0.681294 | + | 1.18004i | 0.293293 | + | 0.956023i | \(0.405249\pi\) |
−0.974586 | + | 0.224012i | \(0.928084\pi\) | |||||||
\(648\) | 15235.4 | − | 8715.08i | 0.923613 | − | 0.528335i | ||||
\(649\) | −2986.49 | + | 1724.25i | −0.180632 | + | 0.104288i | ||||
\(650\) | 2583.78 | 0.155914 | ||||||||
\(651\) | −16371.2 | + | 5256.11i | −0.985618 | + | 0.316441i | ||||
\(652\) | 1275.33 | 0.0766038 | ||||||||
\(653\) | −17358.5 | + | 10021.9i | −1.04026 | + | 0.600594i | −0.919907 | − | 0.392137i | \(-0.871736\pi\) |
−0.120353 | + | 0.992731i | \(0.538403\pi\) | |||||||
\(654\) | −3304.53 | + | 1903.47i | −0.197580 | + | 0.113810i | ||||
\(655\) | 5064.07 | − | 8771.22i | 0.302091 | − | 0.523237i | ||||
\(656\) | 9594.67 | + | 16618.5i | 0.571050 | + | 0.989088i | ||||
\(657\) | −5280.41 | + | 3034.59i | −0.313559 | + | 0.180199i | ||||
\(658\) | −1761.43 | + | 8186.34i | −0.104358 | + | 0.485011i | ||||
\(659\) | − | 13217.9i | − | 0.781327i | −0.920533 | − | 0.390664i | \(-0.872246\pi\) | ||
0.920533 | − | 0.390664i | \(-0.127754\pi\) | |||||||
\(660\) | −3.89091 | + | 3891.80i | −0.000229475 | + | 0.229527i | ||||
\(661\) | 8470.90 | + | 4890.68i | 0.498457 | + | 0.287784i | 0.728076 | − | 0.685496i | \(-0.240415\pi\) |
−0.229619 | + | 0.973281i | \(0.573748\pi\) | |||||||
\(662\) | 3149.56 | + | 1818.40i | 0.184911 | + | 0.106758i | ||||
\(663\) | −1.11302 | + | 1113.28i | −6.51979e−5 | + | 0.0652128i | ||||
\(664\) | − | 14471.0i | − | 0.845761i | ||||||
\(665\) | −2208.41 | + | 10263.7i | −0.128780 | + | 0.598511i | ||||
\(666\) | −14153.8 | + | 8134.03i | −0.823499 | + | 0.473254i | ||||
\(667\) | −1888.72 | − | 3271.36i | −0.109642 | − | 0.189906i | ||||
\(668\) | −0.657286 | + | 1.13845i | −3.80706e−5 | + | 6.59402e-5i | ||||
\(669\) | 21844.5 | − | 12582.8i | 1.26242 | − | 0.727174i | ||||
\(670\) | −36767.7 | + | 21227.8i | −2.12009 | + | 1.22403i | ||||
\(671\) | −13724.6 | −0.789617 | ||||||||
\(672\) | −5355.34 | + | 1719.38i | −0.307421 | + | 0.0987001i | ||||
\(673\) | −4670.73 | −0.267524 | −0.133762 | − | 0.991014i | \(-0.542706\pi\) | ||||
−0.133762 | + | 0.991014i | \(0.542706\pi\) | |||||||
\(674\) | 17888.8 | − | 10328.1i | 1.02233 | − | 0.590242i | ||||
\(675\) | 9504.63 | − | 16349.1i | 0.541975 | − | 0.932260i | ||||
\(676\) | −1398.07 | + | 2421.53i | −0.0795445 | + | 0.137775i | ||||
\(677\) | 13521.0 | + | 23419.1i | 0.767584 | + | 1.32949i | 0.938870 | + | 0.344273i | \(0.111875\pi\) |
−0.171286 | + | 0.985221i | \(0.554792\pi\) | |||||||
\(678\) | 6985.73 | − | 12071.8i | 0.395701 | − | 0.683795i | ||||
\(679\) | 5772.53 | − | 1859.69i | 0.326258 | − | 0.105108i | ||||
\(680\) | 11223.1i | 0.632921i | ||||||||
\(681\) | −12305.0 | − | 12.3022i | −0.692406 | − | 0.000692248i | ||||
\(682\) | −14252.4 | − | 8228.61i | −0.800222 | − | 0.462009i | ||||
\(683\) | −11596.9 | − | 6695.45i | −0.649694 | − | 0.375101i | 0.138645 | − | 0.990342i | \(-0.455725\pi\) |
−0.788339 | + | 0.615241i | \(0.789059\pi\) | |||||||
\(684\) | −1072.21 | − | 621.902i | −0.0599370 | − | 0.0347646i | ||||
\(685\) | − | 8041.69i | − | 0.448551i | ||||||
\(686\) | 16333.0 | + | 1840.44i | 0.909034 | + | 0.102432i | ||||
\(687\) | −19408.2 | − | 11231.2i | −1.07783 | − | 0.623724i | ||||
\(688\) | −4850.07 | − | 8400.57i | −0.268761 | − | 0.465507i | ||||
\(689\) | −1008.20 | + | 1746.25i | −0.0557464 | + | 0.0965557i | ||||
\(690\) | −5995.21 | − | 10408.0i | −0.330773 | − | 0.574241i | ||||
\(691\) | 26837.3 | − | 15494.6i | 1.47748 | − | 0.853025i | 0.477807 | − | 0.878465i | \(-0.341432\pi\) |
0.999676 | + | 0.0254396i | \(0.00809856\pi\) | |||||||
\(692\) | 5164.56 | 0.283710 | ||||||||
\(693\) | 13175.1 | + | 11970.6i | 0.722197 | + | 0.656172i | ||||
\(694\) | 6777.28 | 0.370694 | ||||||||
\(695\) | −16982.9 | + | 9805.07i | −0.926903 | + | 0.535147i | ||||
\(696\) | 4255.66 | + | 7388.07i | 0.231768 | + | 0.402362i | ||||
\(697\) | −5351.23 | + | 9268.60i | −0.290807 | + | 0.503692i | ||||
\(698\) | −7804.05 | − | 13517.0i | −0.423191 | − | 0.732989i | ||||
\(699\) | −25067.3 | − | 14506.0i | −1.35641 | − | 0.784933i | ||||
\(700\) | −2186.49 | + | 2416.18i | −0.118059 | + | 0.130462i | ||||
\(701\) | − | 2892.67i | − | 0.155855i | −0.996959 | − | 0.0779277i | \(-0.975170\pi\) | ||
0.996959 | − | 0.0779277i | \(-0.0248303\pi\) | |||||||
\(702\) | 1337.63 | + | 2332.97i | 0.0719168 | + | 0.125431i | ||||
\(703\) | 7117.31 | + | 4109.18i | 0.381841 | + | 0.220456i | ||||
\(704\) | −17451.2 | − | 10075.5i | −0.934259 | − | 0.539395i | ||||
\(705\) | −14635.3 | − | 14.6320i | −0.781841 | − | 0.000781662i | ||||
\(706\) | 13755.5i | 0.733277i | ||||||||
\(707\) | 19838.4 | + | 4268.57i | 1.05530 | + | 0.227067i | ||||
\(708\) | 329.089 | − | 568.685i | 0.0174688 | − | 0.0301871i | ||||
\(709\) | −7965.19 | − | 13796.1i | −0.421917 | − | 0.730781i | 0.574210 | − | 0.818708i | \(-0.305309\pi\) |
−0.996127 | + | 0.0879267i | \(0.971976\pi\) | |||||||
\(710\) | −2613.46 | + | 4526.64i | −0.138143 | + | 0.239270i | ||||
\(711\) | −28736.3 | − | 57.4595i | −1.51574 | − | 0.00303080i | ||||
\(712\) | −31385.2 | + | 18120.2i | −1.65198 | + | 0.953770i | ||||
\(713\) | −9903.30 | −0.520171 | ||||||||
\(714\) | 5334.54 | + | 4837.12i | 0.279608 | + | 0.253536i | ||||
\(715\) | −4250.81 | −0.222337 | ||||||||
\(716\) | 3163.50 | − | 1826.45i | 0.165119 | − | 0.0953317i | ||||
\(717\) | 21088.8 | − | 12147.5i | 1.09843 | − | 0.632716i | ||||
\(718\) | 2408.83 | − | 4172.22i | 0.125204 | − | 0.216860i | ||||
\(719\) | 5938.87 | + | 10286.4i | 0.308042 | + | 0.533545i | 0.977934 | − | 0.208914i | \(-0.0669928\pi\) |
−0.669892 | + | 0.742459i | \(0.733659\pi\) | |||||||
\(720\) | 11244.0 | + | 19565.4i | 0.581997 | + | 1.01272i | ||||
\(721\) | −2851.78 | − | 2580.67i | −0.147303 | − | 0.133300i | ||||
\(722\) | 14546.6i | 0.749819i | ||||||||
\(723\) | 11.3780 | − | 11380.6i | 0.000585273 | − | 0.585407i | ||||
\(724\) | −1703.28 | − | 983.389i | −0.0874336 | − | 0.0504798i | ||||
\(725\) | 7955.61 | + | 4593.18i | 0.407537 | + | 0.235291i | ||||
\(726\) | 0.856420 | − | 856.615i | 4.37806e−5 | − | 0.0437906i | ||||
\(727\) | − | 16795.8i | − | 0.856839i | −0.903580 | − | 0.428419i | \(-0.859071\pi\) | ||
0.903580 | − | 0.428419i | \(-0.140929\pi\) | |||||||
\(728\) | −1012.96 | − | 3144.27i | −0.0515700 | − | 0.160075i | ||||
\(729\) | 19682.6 | + | 118.070i | 0.999982 | + | 0.00599859i | ||||
\(730\) | −4703.52 | − | 8146.74i | −0.238473 | − | 0.413047i | ||||
\(731\) | 2705.03 | − | 4685.24i | 0.136866 | − | 0.237059i | ||||
\(732\) | 2265.91 | − | 1305.20i | 0.114413 | − | 0.0659040i | ||||
\(733\) | 22048.4 | − | 12729.7i | 1.11102 | − | 0.641447i | 0.171926 | − | 0.985110i | \(-0.445001\pi\) |
0.939093 | + | 0.343663i | \(0.111668\pi\) | |||||||
\(734\) | −5007.02 | −0.251788 | ||||||||
\(735\) | 2831.54 | + | 28587.1i | 0.142099 | + | 1.43463i | ||||
\(736\) | −3239.57 | −0.162245 | ||||||||
\(737\) | 31385.1 | − | 18120.2i | 1.56864 | − | 0.905653i | ||||
\(738\) | −51.6941 | + | 25852.9i | −0.00257843 | + | 1.28951i | ||||
\(739\) | 9319.48 | − | 16141.8i | 0.463901 | − | 0.803499i | −0.535251 | − | 0.844693i | \(-0.679783\pi\) |
0.999151 | + | 0.0411940i | \(0.0131162\pi\) | |||||||
\(740\) | 2458.19 | + | 4257.72i | 0.122115 | + | 0.211509i | ||||
\(741\) | 678.099 | − | 1171.79i | 0.0336175 | − | 0.0580930i | ||||
\(742\) | 3999.45 | + | 12414.4i | 0.197877 | + | 0.614214i | ||||
\(743\) | 14043.3i | 0.693401i | 0.937976 | + | 0.346700i | \(0.112698\pi\) | ||||
−0.937976 | + | 0.346700i | \(0.887302\pi\) | |||||||
\(744\) | 22352.8 | + | 22.3477i | 1.10147 | + | 0.00110122i | ||||
\(745\) | 32400.4 | + | 18706.4i | 1.59337 | + | 0.919932i | ||||
\(746\) | −17348.1 | − | 10016.0i | −0.851422 | − | 0.491569i | ||||
\(747\) | 8142.12 | − | 14037.7i | 0.398802 | − | 0.687566i | ||||
\(748\) | − | 1343.87i | − | 0.0656907i | ||||||
\(749\) | −24756.3 | − | 22402.8i | −1.20771 | − | 1.09290i | ||||
\(750\) | 1837.00 | + | 1063.04i | 0.0894370 | + | 0.0517557i | ||||
\(751\) | −8115.13 | − | 14055.8i | −0.394308 | − | 0.682961i | 0.598705 | − | 0.800970i | \(-0.295682\pi\) |
−0.993013 | + | 0.118009i | \(0.962349\pi\) | |||||||
\(752\) | 4530.58 | − | 7847.20i | 0.219699 | − | 0.380529i | ||||
\(753\) | 5811.43 | + | 10089.0i | 0.281248 | + | 0.488263i | ||||
\(754\) | −1131.32 | + | 653.170i | −0.0546424 | + | 0.0315478i | ||||
\(755\) | 15754.7 | 0.759433 | ||||||||
\(756\) | −3313.60 | − | 723.383i | −0.159411 | − | 0.0348005i | ||||
\(757\) | −33345.7 | −1.60102 | −0.800508 | − | 0.599322i | \(-0.795437\pi\) | ||||
−0.800508 | + | 0.599322i | \(0.795437\pi\) | |||||||
\(758\) | −8340.45 | + | 4815.36i | −0.399655 | + | 0.230741i | ||||
\(759\) | 5117.55 | + | 8884.35i | 0.244737 | + | 0.424877i | ||||
\(760\) | 6824.19 | − | 11819.9i | 0.325710 | − | 0.564146i | ||||
\(761\) | −5394.02 | − | 9342.71i | −0.256942 | − | 0.445037i | 0.708479 | − | 0.705732i | \(-0.249382\pi\) |
−0.965421 | + | 0.260695i | \(0.916048\pi\) | |||||||
\(762\) | 19151.6 | + | 11082.7i | 0.910486 | + | 0.526884i | ||||
\(763\) | 5135.72 | + | 1105.04i | 0.243677 | + | 0.0524313i | ||||
\(764\) | 4799.87i | 0.227295i | ||||||||
\(765\) | −6314.68 | + | 10887.0i | −0.298441 | + | 0.514537i | ||||
\(766\) | 15894.7 | + | 9176.84i | 0.749740 | + | 0.432862i | ||||
\(767\) | 621.503 | + | 358.825i | 0.0292584 | + | 0.0168923i | ||||
\(768\) | 10125.7 | + | 10.1234i | 0.475754 | + | 0.000475646i | ||||
\(769\) | 35799.6i | 1.67876i | 0.543543 | + | 0.839381i | \(0.317082\pi\) | ||||
−0.543543 | + | 0.839381i | \(0.682918\pi\) | |||||||
\(770\) | −18449.1 | + | 20387.3i | −0.863455 | + | 0.954163i | ||||
\(771\) | 2892.94 | − | 4999.17i | 0.135132 | − | 0.233516i | ||||
\(772\) | 84.4979 | + | 146.355i | 0.00393931 | + | 0.00682308i | ||||
\(773\) | 18306.3 | − | 31707.5i | 0.851788 | − | 1.47534i | −0.0278053 | − | 0.999613i | \(-0.508852\pi\) |
0.879593 | − | 0.475727i | \(-0.157815\pi\) | |||||||
\(774\) | 26.1312 | − | 13068.5i | 0.00121352 | − | 0.606898i | ||||
\(775\) | 20857.2 | − | 12041.9i | 0.966727 | − | 0.558140i | ||||
\(776\) | −7884.22 | −0.364725 | ||||||||
\(777\) | 21979.7 | + | 4752.31i | 1.01482 | + | 0.219419i | ||||
\(778\) | −18443.3 | −0.849904 | ||||||||
\(779\) | 11271.5 | − | 6507.62i | 0.518414 | − | 0.299306i | ||||
\(780\) | 701.801 | − | 404.250i | 0.0322160 | − | 0.0185570i | ||||
\(781\) | 2230.86 | − | 3863.97i | 0.102211 | − | 0.177034i | ||||
\(782\) | 2073.78 | + | 3591.89i | 0.0948314 | + | 0.164253i | ||||
\(783\) | −28.6773 | + | 9561.27i | −0.00130887 | + | 0.436388i | ||||
\(784\) | −16211.8 | − | 7315.16i | −0.738511 | − | 0.333234i | ||||
\(785\) | 2675.45i | 0.121644i | ||||||||
\(786\) | −8.44622 | + | 8448.15i | −0.000383291 | + | 0.383378i | ||||
\(787\) | −34874.9 | − | 20135.0i | −1.57961 | − | 0.911990i | −0.994913 | − | 0.100742i | \(-0.967878\pi\) |
−0.584701 | − | 0.811249i | \(-0.698788\pi\) | |||||||
\(788\) | −3441.97 | − | 1987.22i | −0.155603 | − | 0.0898374i | ||||
\(789\) | −10.6947 | + | 10697.2i | −0.000482563 | + | 0.482673i | ||||
\(790\) | − | 44386.1i | − | 1.99897i | ||||||
\(791\) | −18287.2 | + | 5891.45i | −0.822022 | + | 0.264824i | ||||
\(792\) | −11530.8 | − | 20064.5i | −0.517335 | − | 0.900203i | ||||
\(793\) | 1428.08 | + | 2473.51i | 0.0639503 | + | 0.110765i | ||||
\(794\) | 11560.8 | − | 20023.9i | 0.516723 | − | 0.894991i | ||||
\(795\) | −19753.1 | + | 11378.1i | −0.881219 | + | 0.507598i | ||||
\(796\) | −4514.17 | + | 2606.26i | −0.201006 | + | 0.116051i | ||||
\(797\) | 11444.6 | 0.508645 | 0.254323 | − | 0.967119i | \(-0.418148\pi\) | ||||
0.254323 | + | 0.967119i | \(0.418148\pi\) | |||||||
\(798\) | −2676.98 | − | 8337.98i | −0.118752 | − | 0.369876i | ||||
\(799\) | 5053.68 | 0.223762 | ||||||||
\(800\) | 6822.81 | − | 3939.15i | 0.301528 | − | 0.174087i | ||||
\(801\) | −40640.6 | − | 81.2628i | −1.79272 | − | 0.00358462i | ||||
\(802\) | −11531.9 | + | 19973.8i | −0.507736 | + | 0.879424i | ||||
\(803\) | 4014.95 | + | 6954.10i | 0.176444 | + | 0.305610i | ||||
\(804\) | −3458.40 | + | 5976.32i | −0.151702 | + | 0.262150i | ||||
\(805\) | −3480.45 | + | 16175.6i | −0.152385 | + | 0.708216i | ||||
\(806\) | 3424.83i | 0.149670i | ||||||||
\(807\) | −25093.5 | − | 25.0877i | −1.09459 | − | 0.00109434i | ||||
\(808\) | −22846.2 | − | 13190.3i | −0.994712 | − | 0.574297i | ||||
\(809\) | 2702.86 | + | 1560.50i | 0.117463 | + | 0.0678172i | 0.557580 | − | 0.830123i | \(-0.311730\pi\) |
−0.440117 | + | 0.897940i | \(0.645063\pi\) | |||||||
\(810\) | −121.581 | + | 30402.1i | −0.00527399 | + | 1.31879i | ||||
\(811\) | 3571.23i | 0.154628i | 0.997007 | + | 0.0773138i | \(0.0246343\pi\) | ||||
−0.997007 | + | 0.0773138i | \(0.975366\pi\) | |||||||
\(812\) | 346.565 | − | 1610.68i | 0.0149779 | − | 0.0696104i | ||||
\(813\) | −995.903 | − | 576.313i | −0.0429617 | − | 0.0248612i | ||||
\(814\) | 10761.8 | + | 18640.1i | 0.463394 | + | 0.802622i | ||||
\(815\) | −7873.89 | + | 13638.0i | −0.338418 | + | 0.586157i | ||||
\(816\) | −3889.37 | − | 6752.17i | −0.166857 | − | 0.289673i | ||||
\(817\) | −5697.71 | + | 3289.58i | −0.243987 | + | 0.140866i | ||||
\(818\) | −8007.37 | −0.342263 | ||||||||
\(819\) | 786.493 | − | 3620.05i | 0.0335559 | − | 0.154450i | ||||
\(820\) | 7785.98 | 0.331583 | ||||||||
\(821\) | −24420.3 | + | 14099.1i | −1.03809 | + | 0.599344i | −0.919293 | − | 0.393574i | \(-0.871238\pi\) |
−0.118801 | + | 0.992918i | \(0.537905\pi\) | |||||||
\(822\) | 3348.08 | + | 5812.47i | 0.142066 | + | 0.246634i | ||||
\(823\) | 5700.86 | − | 9874.18i | 0.241457 | − | 0.418217i | −0.719672 | − | 0.694314i | \(-0.755708\pi\) |
0.961130 | + | 0.276097i | \(0.0890412\pi\) | |||||||
\(824\) | 2500.00 | + | 4330.13i | 0.105694 | + | 0.183067i | ||||
\(825\) | −21580.9 | − | 12488.5i | −0.910729 | − | 0.527024i | ||||
\(826\) | 4418.37 | − | 1423.43i | 0.186120 | − | 0.0599607i | ||||
\(827\) | 18948.2i | 0.796726i | 0.917228 | + | 0.398363i | \(0.130422\pi\) | ||||
−0.917228 | + | 0.398363i | \(0.869578\pi\) | |||||||
\(828\) | −1689.80 | − | 980.115i | −0.0709233 | − | 0.0411369i | ||||
\(829\) | 663.246 | + | 382.925i | 0.0277871 | + | 0.0160429i | 0.513829 | − | 0.857893i | \(-0.328227\pi\) |
−0.486042 | + | 0.873935i | \(0.661560\pi\) | |||||||
\(830\) | 21707.7 | + | 12532.9i | 0.907813 | + | 0.524126i | ||||
\(831\) | −12819.7 | − | 12.8168i | −0.535151 | − | 0.000535029i | ||||
\(832\) | 4193.51i | 0.174740i | ||||||||
\(833\) | −987.617 | − | 9870.36i | −0.0410791 | − | 0.410549i | ||||
\(834\) | 8192.83 | − | 14157.7i | 0.340161 | − | 0.587819i | ||||
\(835\) | −8.11618 | − | 14.0576i | −0.000336374 | − | 0.000582617i | ||||
\(836\) | −817.136 | + | 1415.32i | −0.0338053 | + | 0.0585525i | ||||
\(837\) | 21670.9 | + | 12598.5i | 0.894928 | + | 0.520272i | ||||
\(838\) | 16210.2 | − | 9358.98i | 0.668225 | − | 0.385800i | ||||
\(839\) | 5355.68 | 0.220380 | 0.110190 | − | 0.993911i | \(-0.464854\pi\) | ||||
0.110190 | + | 0.993911i | \(0.464854\pi\) | |||||||
\(840\) | 7892.26 | − | 36502.2i | 0.324177 | − | 1.49934i | ||||
\(841\) | 19744.4 | 0.809564 | ||||||||
\(842\) | 910.026 | − | 525.404i | 0.0372465 | − | 0.0215043i | ||||
\(843\) | 18797.3 | − | 10827.6i | 0.767986 | − | 0.442374i | ||||
\(844\) | 2861.05 | − | 4955.48i | 0.116684 | − | 0.202103i | ||||
\(845\) | −17263.5 | − | 29901.2i | −0.702818 | − | 1.21732i | ||||
\(846\) | 10584.4 | − | 6082.70i | 0.430140 | − | 0.247196i | ||||
\(847\) | −791.768 | + | 874.946i | −0.0321198 | + | 0.0354941i | ||||
\(848\) | − | 14113.5i | − | 0.571533i | ||||||
\(849\) | 33.7626 | − | 33770.3i | 0.00136482 | − | 1.36513i | ||||
\(850\) | −8735.11 | − | 5043.22i | −0.352485 | − | 0.203507i | ||||
\(851\) | 11216.8 | + | 6476.05i | 0.451832 | + | 0.260865i | ||||
\(852\) | −0.849894 | + | 850.088i | −3.41748e−5 | + | 0.0341826i | ||||
\(853\) | − | 8591.74i | − | 0.344872i | −0.985021 | − | 0.172436i | \(-0.944836\pi\) | ||
0.985021 | − | 0.172436i | \(-0.0551638\pi\) | |||||||
\(854\) | 18061.2 | + | 3886.18i | 0.723703 | + | 0.155717i | ||||
\(855\) | 13270.3 | − | 7626.26i | 0.530800 | − | 0.305044i | ||||
\(856\) | 21702.5 | + | 37589.8i | 0.866560 | + | 1.50093i | ||||
\(857\) | −20273.3 | + | 35114.5i | −0.808080 | + | 1.39964i | 0.106112 | + | 0.994354i | \(0.466160\pi\) |
−0.914192 | + | 0.405281i | \(0.867174\pi\) | |||||||
\(858\) | 3072.45 | − | 1769.78i | 0.122251 | − | 0.0704189i | ||||
\(859\) | −8352.92 | + | 4822.56i | −0.331779 | + | 0.191553i | −0.656631 | − | 0.754212i | \(-0.728019\pi\) |
0.324852 | + | 0.945765i | \(0.394686\pi\) | |||||||
\(860\) | −3935.78 | −0.156057 | ||||||||
\(861\) | 23922.2 | − | 26382.3i | 0.946884 | − | 1.04426i | ||||
\(862\) | 31640.7 | 1.25022 | ||||||||
\(863\) | 9951.19 | − | 5745.32i | 0.392517 | − | 0.226620i | −0.290733 | − | 0.956804i | \(-0.593899\pi\) |
0.683250 | + | 0.730184i | \(0.260566\pi\) | |||||||
\(864\) | 7088.97 | + | 4121.22i | 0.279134 | + | 0.162276i | ||||
\(865\) | −31886.1 | + | 55228.3i | −1.25336 | + | 2.17089i | ||||
\(866\) | −4208.14 | − | 7288.72i | −0.165125 | − | 0.286006i | ||||
\(867\) | −10609.7 | + | 18334.2i | −0.415599 | + | 0.718180i | ||||
\(868\) | −3202.68 | − | 2898.21i | −0.125237 | − | 0.113332i | ||||
\(869\) | 37888.3i | 1.47902i | ||||||||
\(870\) | −14768.4 | − | 14.7650i | −0.575512 | − | 0.000575381i | ||||
\(871\) | −6531.39 | − | 3770.90i | −0.254085 | − | 0.146696i | ||||
\(872\) | −5914.37 | − | 3414.66i | −0.229686 | − | 0.132609i | ||||
\(873\) | −7648.11 | − | 4436.05i | −0.296506 | − | 0.171979i | ||||
\(874\) | − | 5043.84i | − | 0.195206i | ||||||
\(875\) | −896.522 | − | 2782.83i | −0.0346377 | − | 0.107516i | ||||
\(876\) | −1324.19 | − | 766.290i | −0.0510735 | − | 0.0295554i | ||||
\(877\) | 14714.7 | + | 25486.6i | 0.566568 | + | 0.981324i | 0.996902 | + | 0.0786543i | \(0.0250623\pi\) |
−0.430334 | + | 0.902670i | \(0.641604\pi\) | |||||||
\(878\) | −19474.9 | + | 33731.6i | −0.748573 | + | 1.29657i | ||||
\(879\) | 14620.8 | + | 25382.6i | 0.561033 | + | 0.973986i | ||||
\(880\) | 25766.8 | − | 14876.5i | 0.987046 | − | 0.569871i | ||||
\(881\) | 22330.5 | 0.853956 | 0.426978 | − | 0.904262i | \(-0.359578\pi\) | ||||
0.426978 | + | 0.904262i | \(0.359578\pi\) | |||||||
\(882\) | −13948.6 | − | 19483.7i | −0.532510 | − | 0.743820i | ||||
\(883\) | 15519.2 | 0.591463 | 0.295732 | − | 0.955271i | \(-0.404437\pi\) | ||||
0.295732 | + | 0.955271i | \(0.404437\pi\) | |||||||
\(884\) | −242.197 | + | 139.832i | −0.00921489 | + | 0.00532022i | ||||
\(885\) | 4049.55 | + | 7030.25i | 0.153813 | + | 0.267027i | ||||
\(886\) | 305.301 | − | 528.797i | 0.0115765 | − | 0.0200511i | ||||
\(887\) | −19107.9 | − | 33095.9i | −0.723316 | − | 1.25282i | −0.959663 | − | 0.281152i | \(-0.909284\pi\) |
0.236347 | − | 0.971669i | \(-0.424050\pi\) | |||||||
\(888\) | −25303.0 | − | 14642.5i | −0.956209 | − | 0.553343i | ||||
\(889\) | −9346.69 | − | 29012.4i | −0.352618 | − | 1.09454i | ||||
\(890\) | − | 62773.6i | − | 2.36424i | ||||||
\(891\) | 103.783 | − | 25951.4i | 0.00390218 | − | 0.975764i | ||||
\(892\) | 5484.36 | + | 3166.40i | 0.205863 | + | 0.118855i | ||||
\(893\) | −5322.39 | − | 3072.88i | −0.199448 | − | 0.115151i | ||||
\(894\) | −31207.0 | − | 31.1999i | −1.16747 | − | 0.00116720i | ||||
\(895\) | 45106.0i | 1.68461i | ||||||||
\(896\) | 13691.6 | + | 12390.0i | 0.510496 | + | 0.461965i | ||||
\(897\) | 1068.68 | − | 1846.74i | 0.0397795 | − | 0.0687413i | ||||
\(898\) | 7600.07 | + | 13163.7i | 0.282425 | + | 0.489174i | ||||
\(899\) | −6088.31 | + | 10545.3i | −0.225869 | + | 0.391217i | ||||
\(900\) | 4750.63 | + | 9.49910i | 0.175949 | + | 0.000351818i | ||||
\(901\) | 6816.94 | − | 3935.76i | 0.252059 | − | 0.145526i | ||||
\(902\) | 34086.6 | 1.25827 | ||||||||
\(903\) | −12092.6 | + | 13336.1i | −0.445644 | + | 0.491471i | ||||
\(904\) | 24977.0 | 0.918941 | ||||||||
\(905\) | 21032.2 | − | 12142.9i | 0.772522 | − | 0.446016i | ||||
\(906\) | −11387.4 | + | 6559.32i | −0.417571 | + | 0.240529i | ||||
\(907\) | 4432.30 | − | 7676.97i | 0.162262 | − | 0.281047i | −0.773417 | − | 0.633897i | \(-0.781454\pi\) |
0.935680 | + | 0.352850i | \(0.114788\pi\) | |||||||
\(908\) | −1545.56 | − | 2677.00i | −0.0564883 | − | 0.0978405i | ||||
\(909\) | −14740.5 | − | 25649.7i | −0.537858 | − | 0.935915i | ||||
\(910\) | 5593.95 | + | 1203.63i | 0.203778 | + | 0.0438462i | ||||
\(911\) | − | 15145.0i | − | 0.550798i | −0.961330 | − | 0.275399i | \(-0.911190\pi\) | ||
0.961330 | − | 0.275399i | \(-0.0888100\pi\) | |||||||
\(912\) | −9.47397 | + | 9476.13i | −0.000343985 | + | 0.344064i | ||||
\(913\) | −18529.8 | − | 10698.2i | −0.671684 | − | 0.387797i | ||||
\(914\) | −689.630 | − | 398.158i | −0.0249573 | − | 0.0144091i | ||||
\(915\) | −32.2820 | + | 32289.3i | −0.00116635 | + | 1.16662i | ||||
\(916\) | − | 5633.02i | − | 0.203188i | ||||||
\(917\) | 7808.61 | − | 8628.93i | 0.281203 | − | 0.310744i | ||||
\(918\) | 31.4872 | − | 10498.1i | 0.00113206 | − | 0.377439i | ||||
\(919\) | 2244.07 | + | 3886.84i | 0.0805495 | + | 0.139516i | 0.903486 | − | 0.428617i | \(-0.140999\pi\) |
−0.822937 | + | 0.568133i | \(0.807666\pi\) | |||||||
\(920\) | 10754.9 | − | 18628.0i | 0.385412 | − | 0.667552i | ||||
\(921\) | 15502.2 | − | 8929.55i | 0.554631 | − | 0.319477i | ||||
\(922\) | −10648.7 | + | 6148.02i | −0.380364 | + | 0.219603i | ||||
\(923\) | −928.506 | −0.0331118 | ||||||||
\(924\) | −945.028 | + | 4370.81i | −0.0336462 | + | 0.155616i | ||||
\(925\) | −31498.2 | −1.11963 | ||||||||
\(926\) | −21353.2 | + | 12328.3i | −0.757785 | + | 0.437507i | ||||
\(927\) | −11.2116 | + | 5607.08i | −0.000397236 | + | 0.198663i | ||||
\(928\) | −1991.61 | + | 3449.56i | −0.0704501 | + | 0.122023i | ||||
\(929\) | 8911.93 | + | 15435.9i | 0.314737 | + | 0.545141i | 0.979382 | − | 0.202019i | \(-0.0647503\pi\) |
−0.664644 | + | 0.747160i | \(0.731417\pi\) | |||||||
\(930\) | −19392.6 | + | 33511.6i | −0.683774 | + | 1.18160i | ||||
\(931\) | −4961.53 | + | 10995.7i | −0.174659 | + | 0.387078i | ||||
\(932\) | − | 7275.49i | − | 0.255704i | ||||||
\(933\) | −787.033 | − | 0.786854i | −0.0276166 | − | 2.76103e-5i | ||||
\(934\) | −14651.4 | − | 8458.97i | −0.513284 | − | 0.296345i | ||||
\(935\) | 14370.9 | + | 8297.05i | 0.502652 | + | 0.290206i | ||||
\(936\) | −2416.29 | + | 4165.89i | −0.0843793 | + | 0.145477i | ||||
\(937\) | − | 51270.5i | − | 1.78755i | −0.448516 | − | 0.893775i | \(-0.648047\pi\) | ||
0.448516 | − | 0.893775i | \(-0.351953\pi\) | |||||||
\(938\) | −46432.8 | + | 14958.9i | −1.61629 | + | 0.520709i | ||||
\(939\) | 43286.5 | + | 25049.2i | 1.50437 | + | 0.870554i | ||||
\(940\) | −1838.26 | − | 3183.96i | −0.0637845 | − | 0.110478i | ||||
\(941\) | 5422.48 | − | 9392.01i | 0.187851 | − | 0.325367i | −0.756683 | − | 0.653782i | \(-0.773181\pi\) |
0.944533 | + | 0.328415i | \(0.106514\pi\) | |||||||
\(942\) | −1113.90 | − | 1933.79i | −0.0385274 | − | 0.0668857i | ||||
\(943\) | 17763.9 | − | 10256.0i | 0.613437 | − | 0.354168i | ||||
\(944\) | −5023.10 | −0.173186 | ||||||||
\(945\) | 28193.9 | − | 30968.5i | 0.970525 | − | 1.06604i | ||||
\(946\) | −17230.6 | −0.592195 | ||||||||
\(947\) | −36916.8 | + | 21313.9i | −1.26677 | + | 0.731372i | −0.974376 | − | 0.224926i | \(-0.927786\pi\) |
−0.292397 | + | 0.956297i | \(0.594453\pi\) | |||||||
\(948\) | −3603.16 | − | 6255.29i | −0.123444 | − | 0.214306i | ||||
\(949\) | 835.531 | − | 1447.18i | 0.0285801 | − | 0.0495021i | ||||
\(950\) | 6133.05 | + | 10622.8i | 0.209455 | + | 0.362787i | ||||
\(951\) | 40854.2 | + | 23641.7i | 1.39305 | + | 0.806134i | ||||
\(952\) | −2712.65 | + | 12607.2i | −0.0923503 | + | 0.429203i | ||||
\(953\) | 33229.0i | 1.12948i | 0.825269 | + | 0.564739i | \(0.191023\pi\) | ||||
−0.825269 | + | 0.564739i | \(0.808977\pi\) | |||||||
\(954\) | 9540.17 | − | 16448.0i | 0.323768 | − | 0.558201i | ||||
\(955\) | −51328.4 | − | 29634.5i | −1.73921 | − | 1.00413i | ||||
\(956\) | 5294.64 | + | 3056.86i | 0.179122 | + | 0.103416i | ||||
\(957\) | 12606.4 | + | 12.6035i | 0.425817 | + | 0.000425720i | ||||
\(958\) | − | 18998.2i | − | 0.640715i | ||||||
\(959\) | 1943.69 | − | 9033.42i | 0.0654486 | − | 0.304175i | ||||
\(960\) | −23745.2 | + | 41033.1i | −0.798306 | + | 1.37952i | ||||
\(961\) | 1066.19 | + | 1846.70i | 0.0357891 | + | 0.0619885i | ||||
\(962\) | 2239.59 | − | 3879.09i | 0.0750596 | − | 0.130007i | ||||
\(963\) | −97.3279 | + | 48675.0i | −0.00325685 | + | 1.62880i | ||||
\(964\) | 2475.89 | − | 1429.45i | 0.0827209 | − | 0.0477589i | ||||
\(965\) | −2086.77 | −0.0696118 | ||||||||
\(966\) | −4218.92 | − | 13140.6i | −0.140519 | − | 0.437674i | ||||
\(967\) | −16853.4 | −0.560464 | −0.280232 | − | 0.959932i | \(-0.590411\pi\) | ||||
−0.280232 | + | 0.959932i | \(0.590411\pi\) | |||||||
\(968\) | 1328.51 | − | 767.018i | 0.0441116 | − | 0.0254679i | ||||
\(969\) | −4579.68 | + | 2637.98i | −0.151827 | + | 0.0874552i | ||||
\(970\) | 6828.29 | − | 11826.9i | 0.226024 | − | 0.391485i | ||||
\(971\) | −634.824 | − | 1099.55i | −0.0209809 | − | 0.0363400i | 0.855344 | − | 0.518060i | \(-0.173346\pi\) |
−0.876325 | + | 0.481720i | \(0.840012\pi\) | |||||||
\(972\) | 2450.84 | + | 4294.41i | 0.0808751 | + | 0.141711i | ||||
\(973\) | −21447.2 | + | 6909.46i | −0.706644 | + | 0.227654i | ||||
\(974\) | 18157.3i | 0.597328i | ||||||||
\(975\) | −5.18768 | + | 5188.86i | −0.000170399 | + | 0.170438i | ||||
\(976\) | −17313.0 | − | 9995.66i | −0.567803 | − | 0.327821i | ||||
\(977\) | −49580.5 | − | 28625.3i | −1.62356 | − | 0.937364i | −0.985957 | − | 0.167001i | \(-0.946592\pi\) |
−0.637605 | − | 0.770363i | \(-0.720075\pi\) | |||||||
\(978\) | 13.1326 | − | 13135.6i | 0.000429382 | − | 0.429480i | ||||
\(979\) | 53583.9i | 1.74929i | ||||||||
\(980\) | −5859.36 | + | 4212.54i | −0.190990 | + | 0.137311i | ||||
\(981\) | −3816.00 | − | 6640.13i | −0.124195 | − | 0.216109i | ||||
\(982\) | 290.077 | + | 502.428i | 0.00942640 | + | 0.0163270i | ||||
\(983\) | 30733.8 | − | 53232.4i | 0.997207 | − | 1.72721i | 0.433924 | − | 0.900950i | \(-0.357129\pi\) |
0.563283 | − | 0.826264i | \(-0.309538\pi\) | |||||||
\(984\) | −40118.1 | + | 23108.8i | −1.29971 | + | 0.748659i | ||||
\(985\) | 42501.6 | − | 24538.3i | 1.37484 | − | 0.793762i | ||||
\(986\) | 5099.63 | 0.164711 | ||||||||
\(987\) | −16436.7 | − | 3553.82i | −0.530075 | − | 0.114609i | ||||
\(988\) | 340.100 | 0.0109514 | ||||||||
\(989\) | −8979.57 | + | 5184.36i | −0.288710 | + | 0.166687i | ||||
\(990\) | 40084.8 | + | 80.1514i | 1.28685 | + | 0.00257311i | ||||
\(991\) | 25996.6 | − | 45027.4i | 0.833308 | − | 1.44333i | −0.0620930 | − | 0.998070i | \(-0.519778\pi\) |
0.895401 | − | 0.445261i | \(-0.146889\pi\) | |||||||
\(992\) | 5221.39 | + | 9043.71i | 0.167116 | + | 0.289454i | ||||
\(993\) | −3658.12 | + | 6321.44i | −0.116905 | + | 0.202019i | ||||
\(994\) | −4029.85 | + | 4453.20i | −0.128591 | + | 0.142100i | ||||
\(995\) | − | 64364.3i | − | 2.05074i | ||||||
\(996\) | 4076.64 | + | 4.07571i | 0.129692 | + | 0.000129662i | ||||
\(997\) | 29417.3 | + | 16984.1i | 0.934460 | + | 0.539510i | 0.888219 | − | 0.459420i | \(-0.151943\pi\) |
0.0462403 | + | 0.998930i | \(0.485276\pi\) | |||||||
\(998\) | 46590.3 | + | 26898.9i | 1.47775 | + | 0.853177i | ||||
\(999\) | −16306.7 | − | 28440.7i | −0.516438 | − | 0.900725i |
(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 | 21.4.g.a.17.5 | yes | 12 | |
3.2 | odd | 2 | inner | 21.4.g.a.17.2 | yes | 12 | |
4.3 | odd | 2 | 336.4.bc.d.17.2 | 12 | |||
7.2 | even | 3 | 147.4.g.d.68.2 | 12 | |||
7.3 | odd | 6 | 147.4.c.a.146.9 | 12 | |||
7.4 | even | 3 | 147.4.c.a.146.10 | 12 | |||
7.5 | odd | 6 | inner | 21.4.g.a.5.2 | ✓ | 12 | |
7.6 | odd | 2 | 147.4.g.d.80.5 | 12 | |||
12.11 | even | 2 | 336.4.bc.d.17.1 | 12 | |||
21.2 | odd | 6 | 147.4.g.d.68.5 | 12 | |||
21.5 | even | 6 | inner | 21.4.g.a.5.5 | yes | 12 | |
21.11 | odd | 6 | 147.4.c.a.146.3 | 12 | |||
21.17 | even | 6 | 147.4.c.a.146.4 | 12 | |||
21.20 | even | 2 | 147.4.g.d.80.2 | 12 | |||
28.19 | even | 6 | 336.4.bc.d.257.1 | 12 | |||
84.47 | odd | 6 | 336.4.bc.d.257.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.4.g.a.5.2 | ✓ | 12 | 7.5 | odd | 6 | inner | |
21.4.g.a.5.5 | yes | 12 | 21.5 | even | 6 | inner | |
21.4.g.a.17.2 | yes | 12 | 3.2 | odd | 2 | inner | |
21.4.g.a.17.5 | yes | 12 | 1.1 | even | 1 | trivial | |
147.4.c.a.146.3 | 12 | 21.11 | odd | 6 | |||
147.4.c.a.146.4 | 12 | 21.17 | even | 6 | |||
147.4.c.a.146.9 | 12 | 7.3 | odd | 6 | |||
147.4.c.a.146.10 | 12 | 7.4 | even | 3 | |||
147.4.g.d.68.2 | 12 | 7.2 | even | 3 | |||
147.4.g.d.68.5 | 12 | 21.2 | odd | 6 | |||
147.4.g.d.80.2 | 12 | 21.20 | even | 2 | |||
147.4.g.d.80.5 | 12 | 7.6 | odd | 2 | |||
336.4.bc.d.17.1 | 12 | 12.11 | even | 2 | |||
336.4.bc.d.17.2 | 12 | 4.3 | odd | 2 | |||
336.4.bc.d.257.1 | 12 | 28.19 | even | 6 | |||
336.4.bc.d.257.2 | 12 | 84.47 | odd | 6 |